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High School Math : Geometry

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8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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

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

Possible Answers:

$36\ cm^3$

$108\ cm^3$

$48\ cm^3$

$12\ cm^3$

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 #2 : How To Find The Volume Of A Pyramid In 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:

$80\ in^3$

$60\ in^3$

$240\ in^3$

$120\ in^3$

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

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

Possible Answers:

168

$168\pi$

$448\pi$

$360\pi$

Correct answer:

$448\pi$

Explanation:

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

We must first solve for the area of the circle using r=8

The equation for the area of a circle is

We plug in and square it to get

$Area=\pi(64)$

We then plug our answer into the equation for the cone with h=21 to get

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

We multiply to get our final answer for the volume of the cone $448\pi$ .

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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 circle radius of and a height of ?

Possible Answers:

1152

384

$1152\pi$

$384\pi$

Correct answer:

$384\pi$

Explanation:

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

We must first solve for the area of the circle using r=8

The equation for the area of a circle is

We plug in and square it to get $Area=64\pi$

We then plug our answer into the equation for the cone with h=18 to get

$V=(\frac{1}{3})(64\pi)(18)$

We multiply to get our final answer for the volume of the cone $384\pi$ .

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Example Question #4 : How To Find The Volume Of A Cone In Pre Algebra

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

Possible Answers:

$60\pi$

$30\pi$

$100\pi$

$150\pi$

Correct answer:

$150\pi$

Explanation:

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

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

Solve for the area of a circle with radius :

$Area\ of\ Circle=\pi(5^{2})$

$Area\ of\ Circle = 25\pi$

Substitute $25\pi$ for area of circle and for height into the equation for volume

$Volume=\frac{1}{2}(25\pi)(12)$

$Volume=150\pi$ .

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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 height of meters and a base diameter of meters?

Possible Answers:

$72\pi \ m^3$

$36\pi \ m^3$

$9\pi \ m^3$

$18\pi \ m^3$

$54\pi \ m^3$

Correct answer:

$18\pi \ m^3$

Explanation:

The formula for the volume of a cone is $\frac{1}{3}{\pi}r^{2}h$ .

Notice that we are given the diameter, meters, not the radius; thus, we have to solve for the radius by dividing the diameter by two. The radius is therefore 3 meters. Then, we plug this value into the formula for volume:

$\frac{1}{3}{\pi}(3)^{2}\cdot 6 = \frac{1}{3}{\pi}9\cdot 6 = 18{\pi}\ \textup{meters}^3=18\pi m^3$

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High School Math : Geometry

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

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 #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 #822 : High School Math

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

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

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

Example Question #4 : How To Find The Volume Of A Cone In Pre Algebra

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

All High School Math Resources

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