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Pre-Algebra : Volume of a Pyramid

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Example Questions

Example Question #11 : Volume

Find the volume of a pyramid with a length of 2, width of 6, and a height of 9.

Possible Answers:

108

Correct answer:

Explanation:

Write the formula for the volume of a pyramid.

$V=\frac{1}{3} (\textup{ Length} \times\textup{ Width} \times\textup{ Height})$

Substitute the given length, width, and height.

$V=\frac{1}{3} (2\times6\times9)$

Rewrite the inside the parentheses as a factor of .

$V=\frac{1}{3} (2\times (3 \times 2)\times9)$

Cancel the fraction with the three and multiply the terms to get the volume.

$V=2\times 2\times 9 = 36$

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Example Question #12 : Volume

Find the volume of a pyramid if the dimensions of the length, width, and height are 3,5,10 , respectively.

Possible Answers:

150

100

450

120

Correct answer:

Explanation:

Write the volume formula for a pyramid.

$V=\frac{1}{3}( \textup{Length} \times \textup{Width } \times \textup{Height})$

Plug in the dimensions.

$V=\frac{1}{3}( 3\times5 \times 10)=\frac{3\times5 \times 10}{3}$

Cancel out the three on the numerator and denominator.

$V=5\times 10$

Multiply.

V=50

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Example Question #13 : Volume

Find the volume of a pyramid with a length of 6cm, a width that is half the length, and a height that is two times the length.

Possible Answers:

$72\text{cm}^3$

$216\text{cm}^2$

$108\text{cm}^2$

$108\text{cm}^3$

$36\text{cm}^3$

Correct answer:

$72\text{cm}^3$

Explanation:

The formula for volume of a pyramid is

$V =\frac{ l \cdot w \cdot h}{3}$

where l is the length, w is the width, and h is the height. We know the length is 6cm. The width is half the length, so the width is 3cm. The height is two times the length, so the height is 12cm. Using this information, we substitute. We get

$V =\frac{ 6\text{cm} \cdot 3\text{cm} \cdot 12\text{cm}}{3}$

$V =\frac{ 216}{3}\text{cm}^3=72 \text{cm}^3$

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Pre-Algebra : Volume of a Pyramid

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #11 : Volume

Example Question #12 : Volume

Example Question #13 : Volume

All Pre-Algebra Resources

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