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GED Math : 3-Dimensional Geometry

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Example Questions

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Example Question #3 : Volume Of A Rectangular Solid

If a swimming pool is rectangular, and its base area is 20 feet squared, what is the volume if the height of the pool is 8 feet?

Possible Answers:

$160 \textup{ ft}^2$

$80 \textup{ ft}^2$

$80 \textup{ ft}^3$

$16\sqrt{5} \textup{ ft}^3$

$160 \textup{ ft}^3$

Correct answer:

$160 \textup{ ft}^3$

Explanation:

The volume of the rectangular solid can be written as:

V= (LW)H = BH

The length times width constitutes the base of the rectangular solid, and is given in the question.

Substitute the known dimensions into the formula.

$V= 20\textup{ ft}^2(8 \textup{ ft}) = 160 \textup{ ft}^3$

The answer is: $160 \textup{ ft}^3$

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Example Question #1 : Volume Of A Rectangular Solid

A rectangular wood block has the dimensions of 6 inches, 1 foot, and 8 inches. What is the volume in feet?

Possible Answers:

$\frac{1}{3}\textup{ ft}^3$

$\frac{2}{3}\textup{ ft}^3$

$\textup{The answer is not given.}$

$48\textup{ ft}^3$

$6\textup{ ft}^3$

Correct answer:

$\frac{1}{3}\textup{ ft}^3$

Explanation:

Convert all the dimensions into feet.

$6 \textup{ inches} = \frac{1}{2} \textup{ ft}$

$8 \textup{ inches} = \frac{8}{12} \textup{ ft}=\frac{2}{3} \textup{ ft}$

Write the formula for the volume of the block.

V= LWH

Substitute the dimensions and solve for volume.

$V= (\frac{1}{2} \textup{ ft})(\frac{2}{3} \textup{ ft})(1\textup{ ft}) = \frac{1}{3}\textup{ ft}^3$

The answer is: $\frac{1}{3}\textup{ ft}^3$

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Example Question #1 : Volume Of A Rectangular Solid

Find the volume of a rectangular wood block with a length of , width of $\frac{1}{2}$ , and a height of $\frac{1}{3}$ .

Possible Answers:

$\frac{41}{6}$

$\frac{6}{5}$

Correct answer:

Explanation:

Write the formula for the volume of a rectangular prism.

A=LWH

Substitute the dimensions into the formula.

$A=6(\frac{1}{2})(\frac{1}{3}) = 6(\frac{1}{6}) = 1$

The answer is:

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Example Question #31 : 3 Dimensional Geometry

Determine the volume of a brick in inches if its dimensions are 3 inches by 6 inches by 2 inches.

Possible Answers:

$18 \textup{ in}^2$

$36 \textup{ in}^3$

$36 \textup{ in}^2$

$18 \textup{ in}^3$

$72 \textup{ in}^3$

Correct answer:

$36 \textup{ in}^3$

Explanation:

The volume of a rectangular prism can be represented as:

V= LWH

Substitute the dimensions into the formula.

$V = (3 \textup{ in}) (6 \textup{ in}) (2 \textup{ in}) = 36 \textup{ in}^3$

Be sure that inches is cubed for volume.

The answer is: $36 \textup{ in}^3$

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Example Question #7 : Volume Of A Rectangular Solid

What is the volume of a brick with a length of 6 inches, width of 4 inches, and a height of 3 inches?

Possible Answers:

$72\textup{ in}^2$

$72\textup{ in}$

$27\textup{ in}^3$

$72\textup{ in}^3$

$36\textup{ in}^3$

Correct answer:

$72\textup{ in}^3$

Explanation:

The volume of a brick is similar to finding the volume of a rectangular solid.

The volume for a rectangular solid is:

A=LWH

Substitute the dimensions.

$A =(6\textup{ in})(4\textup{ in})(3\textup{ in}) = 72\textup{ in}^3$

The answer is: $72\textup{ in}^3$

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Example Question #1 : Volume Of A Rectangular Solid

Find the volume of the rectangular solid with a length, width, and height of 4,5,and 6, respectively.

Possible Answers:

240

360

120

720

Correct answer:

120

Explanation:

Write the volume for the rectangular solid.

V=LWH

Substitute the dimensions into the formula.

$V = 4\times 5\times 6 = 120$

The answer is: 120

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Example Question #1 : Volume Of A Rectangular Solid

Find the volume of a rectangular solid if the length, width, and height are 6, 12, and 20, respectively.

Possible Answers:

960

720

1440

448

2880

Correct answer:

1440

Explanation:

Write the volume for a rectangular solid.

V=LWH

Substitute the dimensions into the formula.

$V= 6\times 12\times 20 = 1440$

The answer is: 1440

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Example Question #1 : Volume Of A Rectangular Solid

What is the volume of a book with a length of 7 inches, width of 4 inches, and a height of 1 inches?

Possible Answers:

$28\textup{ in}$

$29\textup{ in}^3$

$12\textup{ in}^3$

$28\textup{ in}^3$

$11\textup{ in}^3$

Correct answer:

$28\textup{ in}^3$

Explanation:

The book resembles a rectangular solid. Write the formula for the volume of a rectangular solid.

V= LWH

Substitute the dimensions into the equation.

$V= (7 \textup{ in})(4\textup{ in})(1\textup{ in}) = 28\textup{ in}^3$

The answer is: $28\textup{ in}^3$

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Example Question #11 : Volume Of A Rectangular Solid

Tammy has an aquarium in the shape of a rectangular prism. The aquarium has the following dimensions: $12 in \times 16 in \times 30 in$ . In order for her to properly clean the aquarium, she must remove two-thirds of the water in the aquarium. In cubic inches, how much water must she remove?

Possible Answers:

3840

2460

3640

1920

Correct answer:

3840

Explanation:

Start by finding the volume of the rectangular prism.

$\text{Volume}=\text{length}\times \text{width}\times \text{height}$

For the given dimensions,

$\text{Volume}=12\times 16 \times 30=5760$

Since Tammy needs to remove two-thirds of the water, we will need to find two-thirds of the volume.

$(5760)\frac{2}{3}=3840$

Tammy must remove 3840in^3 of water.

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Example Question #12 : Volume Of A Rectangular Solid

If a brick is a rectangular sold, what is its volume if its base area is 4, and the height is 5?

Possible Answers:

160

400

Correct answer:

Explanation:

Write the formula for the area of a rectangular solid.

V =LWH

The base area consists of , which means we can substitute the area as replacement of the two variables.

V =LWH = (4)(5) = 20

The answer is:

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GED Math : 3-Dimensional Geometry

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #3 : Volume Of A Rectangular Solid

Example Question #1 : Volume Of A Rectangular Solid

Example Question #1 : Volume Of A Rectangular Solid

Example Question #31 : 3 Dimensional Geometry

Example Question #7 : Volume Of A Rectangular Solid

Example Question #1 : Volume Of A Rectangular Solid

Example Question #1 : Volume Of A Rectangular Solid

Example Question #1 : Volume Of A Rectangular Solid

Example Question #11 : Volume Of A Rectangular Solid

Example Question #12 : Volume Of A Rectangular Solid

All GED Math Resources

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