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High School Math : Geometry

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Example Questions

Example Question #24 : How To Find The Area Of A Circle In Pre Algebra

Find the area of a circle with a circumference of $26\pi$ .

Possible Answers:

$52\pi$

$26\pi$

225

$13\pi$

$169\pi$

Correct answer:

$169\pi$

Explanation:

The circumference equation is $C = 2\pi r$

If we plug $26\pi$ into the equation, we can solve for the radius, which is .

Now, we look for the area of the circle based on the equation $A = \pi r^{2}$

$A = 169\pi$

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Example Question #132 : Geometry

The area of a circle is $49 \pi$ . What is its radius?

Possible Answers:

3.5

Correct answer:

Explanation:

Here, we are given the area of a circle and asked to solve for the radius. We know that the formula for the area of a circle is $A = \pi(r)^{2}$

Plugging in the area, we can cancel out the pi on each side of the equation, so that

$r^{2} = 49$

Taking the square root, we find that r = 7

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Example Question #131 : Geometry

Find the diameter of a circle with an area of $64\pi$ .

Possible Answers:

Correct answer:

Explanation:

The area formula is $A = \pi r^{2}$

Plugging in the given number for A, we can solve for the radius and find that the radius is 8.

The diameter is twice the radius, so the diameter is .

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

Rectangle

The drawing above shows the base of a solid rectangular prism. $\overline{AB}=10$ and $\overline{BC}=6$ . If the height of the rectangular solid is 3, what is its volume?

Possible Answers:

240

180

120

Correct answer:

180

Explanation:

$VOLUME = BASE \ast WIDTH \astHEIGHT$

BASE =AB =10

WIDTH =BC=6

HEIGHT = 3

$VOLUME = 10\ast6\ast3=180$

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Example Question #132 : Geometry

What is the volume of a cube with a side of

Possible Answers:

512

4096

Correct answer:

512

Explanation:

The formula for volume of a cube is V=s*s*s .

Plug in our given side and solve:

V=8*8*8=512

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

What is the side of a cube if its volume is 125 ?

Possible Answers:

Correct answer:

Explanation:

The formula for volume of a cube is V=s*s*s or V=s^3 .

For this cube that means 125=s^3 .

Take the cube root of both sides:

$\sqrt[3]{125}=\sqrt[3]{s^3}$

5=s

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Example Question #3 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

What is the volume of a rectangular prism with a length of , height of , and width of ?

Possible Answers:

216

Correct answer:

Explanation:

The formula for volume of a rectangular prism is V=l*w*h .

Plug in our given information:

V=6*3*4

V=72

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Example Question #5 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

What is the volume of a rectangular prism with a length of , width of , and height of ?

Possible Answers:

210

Correct answer:

210

Explanation:

The formula for volume of a rectangular prism is V=l*w*h .

Plug in our given information:

V=7*5*6

V=210

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

What is the volume of a cube with a side length of ?

Possible Answers:

V=256

V=64

V=16

V=4096

Correct answer:

V=4096

Explanation:

To find the volume of a cube you must cube the side length.

The equation looks like this: $Volume=s^{3}$

Cube the side length, , to find the answer: $V=16^{3}$

The answer is V=4096 .

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Example Question #5 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

What is the volume of a rectangular solid with a base of , length of , and height of ?

Possible Answers:

V=326

V=28

V=326

V=756

Correct answer:

V=756

Explanation:

To find the volume of a rectangular solid we must know the equation: Volume=b*l*h

We then plug in our numbers for base, length, and height: Volume=7*9*12

Multiply to get the answer of V=756 .

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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 #24 : How To Find The Area Of A Circle In Pre Algebra

Example Question #132 : Geometry

Example Question #131 : Geometry

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

Example Question #132 : Geometry

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

Example Question #3 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

Example Question #5 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

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

Example Question #5 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

All High School Math Resources

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