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Intermediate Geometry : Prisms

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

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Example Question #1 : How To Find The Volume Of A Prism

Find the volume of the prism.

Possible Answers:

270

360

450

540

Correct answer:

270

Explanation:

Recall how to find the volume of a prism:

$\text{Volume of Prism}=\text{Area of base}\times\text{height of prism}$

Find the area of the base, which is a right triangle.

$\text{Area of Right Triangle}=\frac{1}{2}(\text{base}\times\text{height})$

$\text{Area of Right Triangle Base}=\frac{1}{2}(3)(9)=13.5$

Now, find the volume of the prism.

$\text{Volume of Prism}=13.5\times 20 =270$

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Example Question #2 : How To Find The Volume Of A Prism

Find the volume of the prism.

Possible Answers:

335

325

315

305

Correct answer:

315

Explanation:

Recall how to find the volume of a prism:

$\text{Volume of Prism}=\text{Area of base}\times\text{height of prism}$

Find the area of the base, which is a right triangle.

$\text{Area of Right Triangle}=\frac{1}{2}(\text{base}\times\text{height})$

$\text{Area of Right Triangle Base}=\frac{1}{2}(5)(9)=22.5$

Now, find the volume of the prism.

$\text{Volume of Prism}=22.5\times 14=315$

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Example Question #1 : How To Find The Volume Of A Prism

Find the volume of the prism.

Possible Answers:

696

678

690

684

Correct answer:

684

Explanation:

Recall how to find the volume of a prism:

$\text{Volume of Prism}=\text{Area of base}\times\text{height of prism}$

Find the area of the base, which is a right triangle.

$\text{Area of Right Triangle}=\frac{1}{2}(\text{base}\times\text{height})$

$\text{Area of Right Triangle Base}=\frac{1}{2}(6)(12)=36$

Now, find the volume of the prism.

$\text{Volume of Prism}=36\times 19=684$

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Example Question #4 : How To Find The Volume Of A Prism

Find the volume of a prism.

Possible Answers:

690

510

580

450

Correct answer:

510

Explanation:

Recall how to find the volume of a prism:

$\text{Volume of Prism}=\text{Area of base}\times\text{height of prism}$

Find the area of the base, which is a right triangle.

$\text{Area of Right Triangle}=\frac{1}{2}(\text{base}\times\text{height})$

$\text{Area of Right Triangle Base}=\frac{1}{2}(5)(12)=30$

Now, find the volume of the prism.

$\text{Volume of Prism}=30\times 17=510$

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Example Question #11 : How To Find The Volume Of A Prism

Find the volume of the prism.

Possible Answers:

2070

2090

2210

2050

Correct answer:

2210

Explanation:

Recall how to find the volume of a prism:

$\text{Volume of Prism}=\text{Area of base}\times\text{height of prism}$

Find the area of the base, which is a right triangle.

$\text{Area of Right Triangle}=\frac{1}{2}(\text{base}\times\text{height})$

$\text{Area of Right Triangle Base}=\frac{1}{2}(13)(17)=110.5$

Now, find the volume of the prism.

$\text{Volume of Prism}=110.5\times 20 =2210$

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Example Question #12 : How To Find The Volume Of A Prism

Find the volume of the prism.

Possible Answers:

3768

3558

3458

3658

Correct answer:

3458

Explanation:

Recall how to find the volume of a prism:

$\text{Volume of Prism}=\text{Area of base}\times\text{height of prism}$

Find the area of the base, which is a right triangle.

$\text{Area of Right Triangle}=\frac{1}{2}(\text{base}\times\text{height})$

$\text{Area of Right Triangle Base}=\frac{1}{2}(13)(19)=123.5$

Now, find the volume of the prism.

$\text{Volume of Prism}=123.5\times 28 =3458$

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Example Question #13 : How To Find The Volume Of A Prism

Find the volume of the prism.

Possible Answers:

Correct answer:

Explanation:

Recall how to find the volume of a prism:

$\text{Volume of Prism}=\text{Area of base}\times\text{height of prism}$

Find the area of the base, which is a right triangle.

$\text{Area of Right Triangle}=\frac{1}{2}(\text{base}\times\text{height})$

$\text{Area of Right Triangle Base}=\frac{1}{2}(1)(4)=2$

Now, find the volume of the prism.

$\text{Volume of Prism}=2\times 4=8$

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Example Question #14 : How To Find The Volume Of A Prism

Find the volume of the prism.

Possible Answers:

160

200

120

Correct answer:

120

Explanation:

Recall how to find the volume of a prism:

$\text{Volume of Prism}=\text{Area of base}\times\text{height of prism}$

Find the area of the base, which is a right triangle.

$\text{Area of Right Triangle}=\frac{1}{2}(\text{base}\times\text{height})$

$\text{Area of Right Triangle Base}=\frac{1}{2}(3)(8)=12$

Now, find the volume of the prism.

$\text{Volume of Prism}=12\times 10=120$

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Example Question #11 : How To Find The Volume Of A Prism

Find the volume of the prism.

Possible Answers:

690

630

600

660

Correct answer:

630

Explanation:

Recall how to find the volume of a prism:

$\text{Volume of Prism}=\text{Area of base}\times\text{height of prism}$

Find the area of the base, which is a right triangle.

$\text{Area of Right Triangle}=\frac{1}{2}(\text{base}\times\text{height})$

$\text{Area of Right Triangle Base}=\frac{1}{2}(9)(10)=45$

Now, find the volume of the prism.

$\text{Volume of Prism}=45\times 14=630$

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Example Question #31 : Prisms

Find the volume of the prism.

Possible Answers:

408

420

432

444

Correct answer:

420

Explanation:

Recall how to find the volume of a prism:

$\text{Volume of Prism}=\text{Area of base}\times\text{height of prism}$

Find the area of the base, which is a right triangle.

$\text{Area of Right Triangle}=\frac{1}{2}(\text{base}\times\text{height})$

$\text{Area of Right Triangle Base}=\frac{1}{2}(7)(10)=35$

Now, find the volume of the prism.

$\text{Volume of Prism}=35\times 12=420$

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Intermediate Geometry : Prisms

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #1 : How To Find The Volume Of A Prism

Example Question #2 : How To Find The Volume Of A Prism

Example Question #1 : How To Find The Volume Of A Prism

Example Question #4 : How To Find The Volume Of A Prism

Example Question #11 : How To Find The Volume Of A Prism

Example Question #12 : How To Find The Volume Of A Prism

Example Question #13 : How To Find The Volume Of A Prism

Example Question #14 : How To Find The Volume Of A Prism

Example Question #11 : How To Find The Volume Of A Prism

Example Question #31 : Prisms

All Intermediate Geometry Resources

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