One of your holiday gifts is wrapped in a cube-shaped box. 

If one of the edges has a length of 6 inches, what is the volume of the box?

Find the volume of a cube via the following:

To find the volume of a cube, we will use the following formula:

where a is the length of any side of the cube.

Now, we know the height of the cube is 3in.  Because it is a cube, all sides (lengths, widths, height) are the same.  That is why we can find any length for the formula.  

Knowing this, we can substitute into the formula.  We get

To find the volume of a cube, we will use the following formula:

where l is the length, w is the width, and h is the height of the cube.

Now, we know the length of the cube is 5cm.  Because it is a cube, all sides are equal.  Therefore, the width and the height of the cube are also 5cm.

Knowing this, we will substitute into the formula.  We get

To find the volume of a cube, we will use the following formula:

where l is the length, w is the width, and h is the height of the cube.

Now, we know the height of the cube is 8in.  Because it is a cube, all sides/lengths are equal.  Therefore, the length and width are also 8in.

Knowing this, we can substitute into the formula. We get

While exploring an ancient ruin, you discover a small puzzle cube. You measure the side length to be . Find the cube's volume.

To find the volume of a cube, use the following formula:

So our answer is

You are building a box to hold your collection of rare rocks. You want to build a cube-shaped box with a side length of 3 feet. If you do so, what will the volume of your box be?

Begin with the formula for volume of a cube:

Where s is our side length and V is our volume.

Now, we need to plug in our side length and solve for V

So, our volume is 

To find the volume of a cube, we will use the following formula:

where l is the length, w is the width, and h is the height of the cube.

Now, we know the width is 9in.  Because it is a cube, all sides are equal.  Therefore, the length and the height are also 9in.

Knowing this, we can substitute into the formula.  We get

To find the volume of a cube, we will use the following formula:

where l is the length, w is the width, and h is the height of the cube.

Now, we know the height of the cube is 8in.  Because it is a cube all sides (length, height, width) are the same.  So, all are 8in.

Now we can substitute.  We get

To find the volume of a cube, we will use the following formula:

where l is the length, w is the width, and h is the height of the cube.

Now, we know the length of the cube is 5in.  Because it is a cube, all sides/lengths are equal.  Therefore, the length and width are also 5in.

Knowing this, we can substitute into the formula. We get

To find the volume of a cube, we will use the following formula:

where l is the length, w is the width, and h is the height of the cube. 

Now, we know the height of the cube is 14cm.  Because it is a cube, all sides (lengths, widths, heights) are equal.  Therefore, the length and the width are also 14cm.  So, we can substitute.  We get