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Intermediate Geometry : How to find the volume of a prism

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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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Example Question #17 : How To Find The Volume Of A Prism

Find the volume of the prism.

Possible Answers:

2871

2918

2456

2211

Correct answer:

2871

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.

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

$\text{Area of Right Triangle Base}=\frac{1}{2}(11)(18)=99$

Now, find the volume of the prism.

$\text{Volume of Prism}=99\times 29 =2871$

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Example Question #18 : How To Find The Volume Of A Prism

Find the volume of the prism.

Possible Answers:

396

390

294

402

Correct answer:

396

Explanation:

Recall how to find the volume of any prism.

$\text{Volume of Prism}=\text{Area of Base}\times \text{Height}$

Since the base is a trapezoid, recall how to find the area of a trapezoid.

$\text{Area of Trapezoid}=\frac{base_1+base_2}{2}(\text{height})$

Plug in the given bases and height to find the area of the trapezoid.

$\text{Area of Trapezoid}=\frac{3+8}{2}(12)=66$

Now, plug this in to find the volume of the prism.

$\text{Volume of Prism}=66 \times 6 =396$

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Example Question #19 : How To Find The Volume Of A Prism

Find the volume of the prism.

Possible Answers:

1320

900

660

780

Correct answer:

660

Explanation:

Recall how to find the volume of any prism.

$\text{Volume of Prism}=\text{Area of Base}\times \text{Height}$

Since the base is a trapezoid, recall how to find the area of a trapezoid.

$\text{Area of Trapezoid}=\frac{base_1+base_2}{2}(\text{height})$

Plug in the given bases and height to find the area of the trapezoid.

$\text{Area of Trapezoid}=\frac{4+8}{2}(11)=66$

Now, plug this in to find the volume of the prism.

$\text{Volume of Prism}=66 \times 10 =660$

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Example Question #20 : How To Find The Volume Of A Prism

Find the volume of the prism.

Possible Answers:

1288

1344

1296

1338

Correct answer:

1344

Explanation:

Recall how to find the volume of any prism.

$\text{Volume of Prism}=\text{Area of Base}\times \text{Height}$

Since the base is a trapezoid, recall how to find the area of a trapezoid.

$\text{Area of Trapezoid}=\frac{base_1+base_2}{2}(\text{height})$

Plug in the given bases and height to find the area of the trapezoid.

$\text{Area of Trapezoid}=\frac{6+10}{2}(12)=96$

Now, plug this in to find the volume of the prism.

$\text{Volume of Prism}=96\times14 =1344$

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Intermediate Geometry : How to find the volume of a prism

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

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

Example Question #17 : How To Find The Volume Of A Prism

Example Question #18 : How To Find The Volume Of A Prism

Example Question #19 : How To Find The Volume Of A Prism

Example Question #20 : How To Find The Volume Of A Prism

All Intermediate Geometry Resources

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