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GED Math : GED Math

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4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #2 : Volume Of Other Solids

If a cube has a width of 7in, find the volume.

Possible Answers:

$294\text{in}^3$

$49\text{in}^3$

$153.86\text{in}^3$

$216\text{in}^3$

$343\text{in}^3$

Correct answer:

$343\text{in}^3$

Explanation:

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

$V = l \cdot w \cdot h$

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

We know the width of the cube is 7in. Because it is a cube, all sides/lengths are equal. Therefore, the length and the height are also 7in.

Now, we can substitute. We get

$V = 7\text{in} \cdot 7\text{in} \cdot 7\text{in}$

$V = 7\text{in} \cdot 49\text{in}^2$

$V = 343\text{in}^3$

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Example Question #1631 : Ged Math

If a cube has a height of 8cm, find the volume.

Possible Answers:

$628\text{cm}^3$

$364\text{cm}^3$

$512\text{cm}^3$

$729\text{cm}^3$

$384\text{cm}^3$

Correct answer:

$512\text{cm}^3$

Explanation:

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

$V = l \cdot w \cdot h$

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 8cm. Because it is a cube, all sides/lengths are the same. Therefore, the length and the width are also 8cm. So, we can substitute. We get

$V = 8\text{cm} \cdot 8\text{cm} \cdot 8\text{cm}$

$V = 64\text{cm}^2 \cdot 8\text{cm}$

$V = 512\text{cm}^3$

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Example Question #111 : 3 Dimensional Geometry

Let $\pi = 3.14$ .

Find the volume of a cone with the following measurements:

radius: 7cm
height: 9cm

Possible Answers:

$461.58\text{cm}^3$

$197.82\text{cm}^3$

$254.34\text{cm}^3$

$65.94\text{cm}^3$

$153.86\text{cm}^3$

Correct answer:

$461.58\text{cm}^3$

Explanation:

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

$V = \pi r^2 \frac{h}{3}$

where r is the radius and h is the height of the cone.

Now, we know $\pi = 3.14$ . We know the radius of the cone is 7cm. We know the height of the cone is 9cm. So, we substitute. We get

$V = 3.14 \cdot (7\text{cm})^2 \cdot \frac{9\text{cm}}{3}$

$V = 3.14 \cdot 49\text{cm}^2 \cdot \frac{9\text{cm}}{3}$

$V = 3.14 \cdot 49\text{cm}^2 \cdot 3\text{cm}$

$V = 3.14 \cdot 147\text{cm}^3$

$V = 461.58\text{cm}^3$

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Example Question #112 : 3 Dimensional Geometry

Find the volume of a cube with a width of 11in.

Possible Answers:

$1221\text{in}^3$

$1111\text{in}^3$

$1212\text{in}^3$

$1121\text{in}^3$

$1331\text{in}^3$

Correct answer:

$1331\text{in}^3$

Explanation:

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

$V = l \cdot w \cdot h$

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

Now, we know the width of the cube is 11in. Because it is a cube, all widths/lengths/etc are the same. Therefore, the length and the height are also 11in. So, we substitute. We get

$V = 11\text{in} \cdot 11\text{in} \cdot 11\text{in}$

$V = 121\text{in}^2 \cdot 11\text{in}$

$V = 1331\text{in}^3$

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Example Question #661 : Geometry And Graphs

Find the volume of a cone with a radius of 2 and a height of 10.

Possible Answers:

$20\pi$

$\frac{100}{3}\pi$

$\frac{20}{3}\pi$

$\frac{40}{3}\pi$

$\frac{200}{3}\pi$

Correct answer:

$\frac{40}{3}\pi$

Explanation:

Write the formula for the volume of a cone.

$V =\frac{1}{3}\pi r^2 h$

Substitute the radius and height.

$V =\frac{1}{3}\pi (2)^2 (10) = \frac{40}{3}\pi$

The answer is: $\frac{40}{3}\pi$

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Example Question #671 : Geometry And Graphs

Find the volume of a cone with a radius of $6\pi$ and a height of .

Possible Answers:

$12\pi^2$

$24 \pi ^2$

$48 \pi ^3$

$24 \pi ^3$

$48 \pi ^4$

Correct answer:

$24 \pi ^3$

Explanation:

Write the formula for the volume of a cone.

$V = \frac{1}{3}\pi r^2h$

Substitute the radius and height into the formula.

$V = \frac{1}{3}\pi (6\pi)^2(2) = \frac{1}{3}\pi (6\pi)(6\pi)(2)$

The answer is: $24 \pi ^3$

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Example Question #671 : Geometry And Graphs

What is the volume of a hemisphere with a radius of 2?

Possible Answers:

$\frac{32}{9}\pi$

$\frac{32}{3}\pi$

$8\pi$

$\frac{8}{3}\pi$

$\frac{16}{3}\pi$

Correct answer:

$\frac{16}{3}\pi$

Explanation:

Recall that the volume of a full sphere is: $V= \frac{4}{3} \pi r^3$

A hemisphere would be half this volume.

$\frac{1}{2}(\frac{4}{3} \pi r^3) = \frac{2}{3} \pi r^3$

Substitute the radius.

$\frac{2}{3} \pi (2)^3 = \frac{2}{3} \pi (8) = \frac{16}{3}\pi$

The answer is: $\frac{16}{3}\pi$

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Example Question #673 : Geometry And Graphs

A cube has a length of 9cm. Find the volume.

Possible Answers:

$486\text{cm}^3$

$567\text{cm}^3$

$81\text{cm}^3$

$729\text{cm}^3$

$381\text{cm}^3$

Correct answer:

$729\text{cm}^3$

Explanation:

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

$V = l \cdot w \cdot h$

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 9cm. Because it is a cube, all sides/lengths are equal. Therefore, the width and height are also 9cm.

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

$V = 9\text{cm} \cdot 9\text{cm} \cdot 9\text{cm}$

$V = 81\text{cm}^2 \cdot 9\text{cm}$

$V = 729\text{cm}^3$

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Example Question #673 : Geometry And Graphs

Find the volume of a cube with a height of 6cm.

Possible Answers:

$180\text{cm}^3$

$216\text{cm}^3$

$36\text{cm}^3$

$252\text{cm}^3$

$27\text{cm}^3$

Correct answer:

$216\text{cm}^3$

Explanation:

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

$V = l \cdot w \cdot h$

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 6cm. Because it is a cube, all lengths/sides/etc are equal. Therefore, the length and the width are also 6cm.

So, we substitute. We get

$V = 6\text{cm} \cdot 6\text{cm} \cdot 6\text{cm}$

$V = 36\text{cm}^2 \cdot 6\text{cm}$

$V = 216\text{cm}^3$

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Example Question #674 : Geometry And Graphs

Find the volume of a cone with a radius of 8in and a height of 6in.

Possible Answers:

$384\pi \text{ in}^3$

$128\pi \text{ in}^3$

$144\pi \text{ in}^3$

$96\pi \text{ in}^3$

$48\pi \text{ in}^3$

Correct answer:

$128\pi \text{ in}^3$

Explanation:

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

$V = \pi r^2 \frac{h}{3}$

where r is the radius and h is the height of the cone.

Now, we know the radius is 8in. We know the height is 6in. So, we can substitute. We get

$V = \pi \cdot (8\text{in})^2 \cdot \frac{6\text{in}}{3}$

$V = \pi \cdot 64\text{in}^2 \cdot 2\text{in}$

$V = \pi \cdot 128\text{in}^3$

$V = 128\pi \text{ in}^3$

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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #2 : Volume Of Other Solids

Example Question #1631 : Ged Math

Example Question #111 : 3 Dimensional Geometry

Example Question #112 : 3 Dimensional Geometry

Example Question #661 : Geometry And Graphs

Example Question #671 : Geometry And Graphs

Example Question #671 : Geometry And Graphs

Example Question #673 : Geometry And Graphs

Example Question #673 : Geometry And Graphs

Example Question #674 : Geometry And Graphs

All GED Math Resources

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