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Pre-Algebra : Geometry

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Example Questions

Example Question #2 : Volume Of A Rectangular Solid

What is the volume of a cube with a side length equal to inches?

Possible Answers:

$343\: in^{3}$

$53\: in^{3}$

$21\: in^{3}$

$49\: in^{3}$

Correct answer:

$343\: in^{3}$

Explanation:

The volume of a a cube (or rectangular prism) can be solved using the following equation:

$V=l\times\ w\times\ h$

$V=7in\times 7in\times 7in=343in^3$

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Example Question #2 : Volume Of A Rectangular Solid

The volume of a cube is . What is the length of an edge of the cube?

Possible Answers:

Correct answer:

Explanation:

Let be the length of an edge of the cube. The volume of a cube can be determined by the equation:
x^3=V

x^3=64

$\sqrt[3]{x^3}=\sqrt[3]{64}$

x=4

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Example Question #5 : Volume Of A Rectangular Solid

A given rectangular prism has a length of $9\:cm$ , a width of $5\:cm$ , and a height of $7\:cm$ . What is the volume of the prism?

Possible Answers:

$315\:cm^{3}$

$63\:cm^{2}$

$315\:cm^{2}$

$45\:cm^{3}$

$63\:cm^{3}$

Correct answer:

$315\:cm^{3}$

Explanation:

The volume of a given prism V=Bh , where is the base area and is the height. For a rectangular prism, the base area $B=l \times w$ , or length times width. Therefore:

V=Bh

$V=(l\times w)h$

Substituting in our known values:

$V=(9\:cm\times 5\:cm)7\:cm$

$V=45\:cm^{2}\times 7\:cm$

$V=315\:cm^{3}$

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Example Question #1 : Volume Of A Rectangular Solid

A given rectangular prism has a length of , a width of , and a height of . What is the volume of the prism?

Possible Answers:

572

576

574

Correct answer:

576

Explanation:

The volume of a rectangular prism is the product of its base area and its height : V=Ah . Since we can determine the base area of the rectangular prism from its length and width, we can rewrite the equation and solve:

V=Ah

V=lwh

V=(12)(6)(8)

$V=12 \times48$

V=576

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Example Question #2 : Volume Of A Rectangular Solid

A given rectangular prism has a length of 10cm , a width of 7cm , and a height of 15cm , what is its volume?

Possible Answers:

$1050cm^{3}$

$32cm^{3}$

$525cm^{3}$

$85cm^{3}$

$1050cm^{2}$

Correct answer:

$1050cm^{3}$

Explanation:

V=Ah

V=lwh

V=(10)(7)(25)

V=1050

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Example Question #1 : Volume Of A Rectangular Solid

The length, width, and height of box is 2,5,9 respectively. What is the volume of the rectangular box?

Possible Answers:

Correct answer:

Explanation:

Write the formula to find the volume of a rectangular solid.

$V=\textup{ Length} \times \textup{Width} \times\textup{ Height}$

Substitute the dimensions.

$2\times5\times9 = 90$

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Example Question #251 : Geometry

Find the volume of a rectangular solid if the base area is and the height is .

Possible Answers:

576

Correct answer:

Explanation:

Write the formula to find the volume of the rectangular solid.

$V= LWH = A_{base}H$

The area of the base is length times width, and is already given. Multiply the area of the base with the height to obtain the volume.

$V=A_{base}H = 4(6)=24$

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Example Question #61 : Volume

Find the volume of a rectangular box if the length, width, and height are $\textup{6, 15, and 11,}$ respectively.

Possible Answers:

330

909

990

897

495

Correct answer:

990

Explanation:

Write the formula to find the volume of a rectangular prism.

$V= \textup{Length} \times \textup{Width } \times \textup{Height}$

Substitute the dimensions.

V= (6)(15)(11)=990

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Example Question #12 : Volume Of A Rectangular Solid

Find the volume of the rectangular solid if the base has an area of and the height is .

Possible Answers:

Correct answer:

Explanation:

Write the formula for the volume of a rectangular solid.

$V=\textup{LWH}$

The base area is:

$\textup{B}_\textup{Area} = \textup{LW} = 4$

Substitute the area and the height.

$V=\textup{(LW)H} = 4(5)=20$

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Example Question #12 : Volume Of A Rectangular Solid

Find the volume of a rectangular solid with a length of 4, a width of 1, and a height of 10.

Possible Answers:

Correct answer:

Explanation:

Write the formula to find the volume of the rectangular solid.

$V=\textup{Length } \times\textup{ Width }\times\textup{ Height}$

Substitute the known dimensions.

$V=4 \times 1\times 10$

Multiply the numbers.

V=40

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Pre-Algebra : Geometry

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #2 : Volume Of A Rectangular Solid

Example Question #2 : Volume Of A Rectangular Solid

Example Question #5 : Volume Of A Rectangular Solid

Example Question #1 : Volume Of A Rectangular Solid

Example Question #2 : Volume Of A Rectangular Solid

Example Question #1 : Volume Of A Rectangular Solid

Example Question #251 : Geometry

Example Question #61 : Volume

Example Question #12 : Volume Of A Rectangular Solid

Example Question #12 : Volume Of A Rectangular Solid

All Pre-Algebra Resources

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