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Intermediate Geometry : Prisms

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

Example Question #5 : How To Find The Volume Of A Prism

Find the volume of the prism.

Possible Answers:

450

360

540

270

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 #161 : Solid Geometry

Find the volume of the prism.

Possible Answers:

335

305

325

315

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 #8 : How To Find The Volume Of A Prism

Find the volume of the prism.

Possible Answers:

696

690

684

678

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 #31 : Prisms

Find the volume of a prism.

Possible Answers:

450

580

690

510

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 #31 : Prisms

Find the volume of the prism.

Possible Answers:

2070

2050

2090

2210

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 #31 : Prisms

Find the volume of the prism.

Possible Answers:

3458

3768

3658

3558

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 #31 : Prisms

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 #33 : Prisms

Find the volume of the prism.

Possible Answers:

160

120

200

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 #12 : How To Find The Volume Of A Prism

Find the volume of the prism.

Possible Answers:

660

630

600

690

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 #11 : How To Find The Volume Of A Prism

Find the volume of the prism.

Possible Answers:

432

420

408

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 #5 : How To Find The Volume Of A Prism

Example Question #161 : Solid Geometry

Example Question #8 : How To Find The Volume Of A Prism

Example Question #31 : Prisms

Example Question #31 : Prisms

Example Question #31 : Prisms

Example Question #31 : Prisms

Example Question #33 : Prisms

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

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

All Intermediate Geometry Resources

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