Recognize Volume as Additive: CCSS.Math.Content.5.MD.C.5c - 5th Grade Math

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Question

Erica is going on a vacation. One of her suitcases has a volume of 3 cubic feet, and the other has a volume of 2 cubic feet. What is the total volume of Erica's two suitcases?

Answer

No explanation available

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Question

What is the volume of the figure below?

Answer

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the right, we had to take the length of the original figure (which was ) and subtract the length of the rectangular prism on the left (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=2\times3\times5$ and $v=3\times2\times3$

and

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}30in^3\ +\ 18in^3\end{array}}{ \ \ \ \space 48in^3}$

*Remember, volume is always measured in cubic units!

Compare your answer with the correct one above

Question

What is the volume of the figure below?

Answer

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the right, we had to take the length of the original figure (which was ) and subtract the length of the rectangular prism on the left (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=3\times4\times7$ and $v=4\times3\times4$

and

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}84in^3\ +\ 48in^3\end{array}}{ \ \ \ \space 132in^3}$

*Remember, volume is always measured in cubic units!

Compare your answer with the correct one above

Question

What is the volume of the figure below?

Answer

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the right, we had to take the length of the original figure (which was ) and subtract the length of the rectangular prism on the left (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=5\times3\times7$ and $v=4\times3\times4$

and

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}105in^3\ +\ 48in^3\end{array}}{ \ \ \space 153in^3}$

*Remember, volume is always measured in cubic units!

Compare your answer with the correct one above

Question

What is the volume of the figure below?

Answer

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the right, we had to take the length of the original figure (which was ) and subtract the length of the rectangular prism on the left (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=4\times3\times8$ and $v=5\times3\times5$

and

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}96in^3\ +\ 75in^3\end{array}}{ \ \ \space 171in^3}$

*Remember, volume is always measured in cubic units!

Compare your answer with the correct one above

Question

What is the volume of the figure below?

Answer

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the right, we had to take the length of the original figure (which was ) and subtract the length of the rectangular prism on the left (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=6\times5\times9$ and $v=4\times4\times5$

and

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}270in^3\ +\ 80in^3\end{array}}{ \ \ \space 350in^3}$

*Remember, volume is always measured in cubic units!

Compare your answer with the correct one above

Question

What is the volume of the figure below?

Answer

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the right, we had to take the length of the original figure (which was ) and subtract the length of the rectangular prism on the left (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=6\times5\times10$ and $v=6\times6\times7$

and

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}300in^3\ +\ 252in^3\end{array}}{ \ \ \ \space 552in^3}$

*Remember, volume is always measured in cubic units!

Compare your answer with the correct one above

Question

What is the volume of the figure below?

Answer

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the right, we had to take the length of the original figure (which was ) and subtract the length of the rectangular prism on the left (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=6\times4\times9$ and $v=5\times4\times5$

and

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}216in^3\ +\ 100in^3\end{array}}{ \ \ \ \space 316in^3}$

*Remember, volume is always measured in cubic units!

Compare your answer with the correct one above

Question

What is the volume of the figure below?

Answer

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the right, we had to take the length of the original figure (which was ) and subtract the length of the rectangular prism on the left (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=6\times3\times11$ and $v=7\times3\times6$

and

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}198in^3\ +\ 126in^3\end{array}}{ \ \ \ \space 324in^3}$

*Remember, volume is always measured in cubic units!

Compare your answer with the correct one above

Question

What is the volume of the figure below?

Answer

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the right, we had to take the length of the original figure (which was ) and subtract the length of the rectangular prism on the left (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=7\times4\times10$ and $v=6\times4\times5$

and

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}280in^3\ +\ 120in^3\end{array}}{ \ \ \ \space 400in^3}$

*Remember, volume is always measured in cubic units!

Compare your answer with the correct one above

Question

What is the volume of the figure below?

Answer

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the right, we had to take the length of the original figure (which was ) and subtract the length of the rectangular prism on the left (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=8\times4\times11$ and $v=7\times4\times5$

and

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}352in^3\ +\ 140in^3\end{array}}{ \ \ \ \space 492in^3}$

*Remember, volume is always measured in cubic units!

Compare your answer with the correct one above

Question

What is the volume of the figure below?

Answer

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the right, we had to take the length of the original figure (which was ) and subtract the length of the rectangular prism on the left (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=8\times4\times12$ and $v=6\times4\times7$

and

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}384in^3\ +\ 168in^3\end{array}}{ \ \ \ \space 552in^3}$

*Remember, volume is always measured in cubic units!

Compare your answer with the correct one above

Question

What is the volume of the figure below?

Answer

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the right, we had to take the length of the original figure (which was ) and subtract the length of the rectangular prism on the left (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=9\times5\times12$ and $v=8\times5\times6$

and

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}540in^3\ +\ 240in^3\end{array}}{ \ \ \ \space 780in^3}$

*Remember, volume is always measured in cubic units!

Compare your answer with the correct one above

Question

What is the volume of the figure below?

Answer

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the bottom, we had to take the height of the original figure (which was ) and subtract the height of the rectangular prism on the top (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=4\times2\times3$ and $v=2\times2\times3$

and

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}24in^3\ +\ 12in^3\end{array}}{ \ \ \ \space 36in^3}$

*Remember, volume is always measured in cubic units!

Compare your answer with the correct one above

Question

What is the volume of the figure below?

Answer

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the bottom, we had to take the height of the original figure (which was ) and subtract the height of the rectangular prism on the top (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=4\times1\times2$ and $v=2\times1\times3$

and

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}8in^3\ +\ 6in^3\end{array}}{ \ \ \space 14in^3}$

*Remember, volume is always measured in cubic units!

Compare your answer with the correct one above

Question

What is the volume of the figure below?

Answer

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the bottom, we had to take the height of the original figure (which was ) and subtract the height of the rectangular prism on the top (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=5\times3\times2$ and $v=3\times2\times4$

and

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}30in^3\ +\ 24in^3\end{array}}{ \ \ \ \space 54in^3}$

*Remember, volume is always measured in cubic units!

Compare your answer with the correct one above

Question

What is the volume of the figure below?

Answer

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the bottom, we had to take the height of the original figure (which was ) and subtract the height of the rectangular prism on the top (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=8\times4\times3$ and $v=3\times4\times6$

and

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}96in^3\ +\ 72in^3\end{array}}{ \ \ \space 168in^3}$

*Remember, volume is always measured in cubic units!

Compare your answer with the correct one above

Question

What is the volume of the figure below?

Answer

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the bottom, we had to take the height of the original figure (which was ) and subtract the height of the rectangular prism on the top (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=7\times3\times2$ and $v=2\times3\times7$

and

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}42in^3\ +\ 42in^3\end{array}}{ \ \ \ \space 84in^3}$

*Remember, volume is always measured in cubic units!

Compare your answer with the correct one above

Question

What is the volume of the figure below?

Answer

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the bottom, we had to take the height of the original figure (which was ) and subtract the height of the rectangular prism on the top (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=10\times5\times3$ and $v=3\times5\times8$

and

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}150in^3\ +\ 120in^3\end{array}}{ \ \ \ \space 270in^3}$

*Remember, volume is always measured in cubic units!

Compare your answer with the correct one above

Question

What is the volume of the figure below?

Answer

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the bottom, we had to take the height of the original figure (which was ) and subtract the height of the rectangular prism on the top (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=11\times5\times3$ and $v=3\times5\times9$

and

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}165in^3\ +\ 135in^3\end{array}}{ \ \ \ \space 300in^3}$

*Remember, volume is always measured in cubic units!

Compare your answer with the correct one above

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