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High School Math : Pre-Algebra

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Example Questions

Example Question #12 : How To Find The Volume Of A Cylinder In Pre Algebra

A cylinder has a radius of inches and a height of inches. What is the volume of the cylinder?

Possible Answers:

inches cubed

$15\pi$ inches cubed

inches cubed

$45\pi$ inches cubed

Correct answer:

$45\pi$ inches cubed

Explanation:

The formula for the volume of a cylinder is $V = \pi r^{2}h$ , where is the radius, and is the height.

Plugging into this formula with our given values, we see that $V = \pi (3)^{2}(5) = \pi (9)(5) = 45\pi$ inches cubed.

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Example Question #13 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the volume of a cylinder with a base radius of and a height of ?

Possible Answers:

$9000\pi$

$6069\pi$

$357\pi$

$4765\pi$

Correct answer:

$6069\pi$

Explanation:

To find the volume of a cylinder, use the equation:

$Volume=\pi\cdot\ Radius^{2}\cdot\ Height$

Substitute the given values for radius and height:

$Volume=\pi\cdot(17^{2})\cdot21$

$Volume=\pi \cdot 289\cdot 21$

$Volume=6069\pi$

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Example Question #511 : Pre Algebra

What is the volume of a cylinder with a circle radius of and a length of ?

Possible Answers:

$448\pi$

$678\pi$

896

$896\pi$

$112\pi$

Correct answer:

$896\pi$

Explanation:

To find the volume of a cylinder we must know the equation for the volume of a cylinder which is .

Here the length is and the radius is , so the equation becomes $V=(8^{2})(14)(\pi)$ .

First square the to get $8^{2}=64$ .

Then perform multiplication to get $(64)(14)(\pi)=896\pi$ .

The answer is therefore $896\pi$ .

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Example Question #1 : How To Find The Volume Of A Pyramid In Pre Algebra

What is the volume of a pyramid with a square side length of and a height of ?

Possible Answers:

300

120

320

240

Correct answer:

320

Explanation:

To find the volume of a pyramid we must use the equation $Volume\:of\:pyramid=\frac{1}{3}(Area\: of\: square)(height)$

We must first solve for the area of the square using $Area\: of\: square=(side\: length)^{2}$

We plug in and square it to get $8^{2}=64$

We then plug our answer into the equation for the pyramid with $Volume\:of\:pyramid=\frac{1}{3}(64)(15)$

We multiply the result by $\frac{1}{3}$ to get our final answer for the volume of the pyramid 320 .

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Example Question #2 : How To Find The Volume Of A Pyramid In Pre Algebra

What is the volume of a pyramid with a square base that has a side length of and a height of ?

Possible Answers:

168

672

436

2016

Correct answer:

672

Explanation:

To find the volume of a pyramid we must use the equation

$V=\left(\frac{1}{3}\cdot \right)(Base\ Area)\cdot (Height)$

We must first solve for the area of the square using $A=s^{2}$

We plug in and square it to get $A=12^{2}$

We then plug our answer into the equation for the volume of the pyramid with h=14

It will look like this

$V=\left(\frac{1}{3}\right)\cdot (144)\cdot (14)$

We multiply the result to get our final answer for the volume of the pyramid 672 .

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Example Question #1 : How To Find The Volume Of A Pyramid In Pre Algebra

What is the volume of a pyramid with a square base length of and a height of ?

Possible Answers:

V=105

V=525

V=145

V=175

Correct answer:

V=175

Explanation:

To find the volume of a pyramid we must use the equation

$V=\left ( \frac{1}{3} \right )\times Area\ of\ base\times height$

We must first solve for the area of the square using

We plug in and square it to get A=25 .

We then plug our answer into the equation for the volume of the pyramid

$V=\frac{1}{3}\cdot (25)\cdot (21)$

We multiply the result to get our final answer for the volume of the pyramid

V=175

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Example Question #812 : High School Math

What is the volume of a pyramid with a base area of 9 sqaure centimeters and a height of 4 centimeters?

Possible Answers:

$12\ cm^3$

$36\ cm^3$

$108\ cm^3$

$48\ cm^3$

Correct answer:

$12\ cm^3$

Explanation:

The volume of a pyramid can be determined using the following equation:

$V=\frac{1}{3}lwh=\frac{1}{3}Ah$

$V=\frac{1}{3}(9\ cm^2)(4cm)=\frac{1}{3}36\ cm^3=12\ cm^3$

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Example Question #512 : Pre Algebra

What is the volume of a pyramid with a base length of 5 inches, base width of 6 inches, and height of 8 inches?

Possible Answers:

$60\ in^3$

$120\ in^3$

$240\ in^3$

$80\ in^3$

Correct answer:

$80\ in^3$

Explanation:

The volume of a pyramid can be determined using the equation:

$V=\frac{1}{3}lwh=\frac{1}{3}(5\ in)(6\ in)(8\ in)=\frac{1}{3}240\ in^3=80\ in^3$

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Example Question #822 : High School Math

What is the volume of a square-based pyramid with side lengths and a height of ?

Possible Answers:

448

300

734

1334

Correct answer:

448

Explanation:

To find the volume of a pyramid, use the equation:

$Volume=\frac{1}{3}(Base\ Area)(Height)$

First solve for the base area (which is a square) using $Base\ Area=Side^{2}$

$Base\ Area=8^{2}$

$Base\ Area=64$

Then subsitute the base area into the volume formula and obtain:

$Volume=(\frac{1}{3})(64)(21)$

Volume=448

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Example Question #1 : How To Find The Volume Of A Cone In Pre Algebra

What is the volume of a cone with a base radius of and a height of ?

Possible Answers:

100

$100\pi$

$60\pi$

Correct answer:

$100\pi$

Explanation:

To find the volume of a cone we must use the equation

$Volume\ of\ \ cone=\frac{1}{3}\cdot (area\ of\ base)\cdot (height)$

We must first solve for the area of the base using .

The equation for the area of a circle is

We plug in and square it to get

We then plug our answer into the equation for the cone with to get

We multiply to get our final answer for the volume of the cone .

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High School Math : Pre-Algebra

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #12 : How To Find The Volume Of A Cylinder In Pre Algebra

Example Question #13 : How To Find The Volume Of A Cylinder In Pre Algebra

Example Question #511 : Pre Algebra

Example Question #1 : How To Find The Volume Of A Pyramid In Pre Algebra

Example Question #2 : How To Find The Volume Of A Pyramid In Pre Algebra

Example Question #1 : How To Find The Volume Of A Pyramid In Pre Algebra

Example Question #812 : High School Math

Example Question #512 : Pre Algebra

Example Question #822 : High School Math

Example Question #1 : How To Find The Volume Of A Cone In Pre Algebra

All High School Math Resources

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