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Intermediate Geometry : How to find the volume of a prism

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Example Questions

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Example Question #61 : Prisms

Find the volume of the prism.

Possible Answers:

2680

2720

2600

2640

Correct answer:

2640

Explanation:

To find the volume of the prism, use the following formula:

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

Since the base of this prism is a triangle, find the area of a triangle.

$\text{Area of Triangle}=\frac{\text{base}\times \text{height}}{2}$

$\text{Area of Triangle}=\frac{30\times 8}{2}=120$

Now, plug in the area of the base and the height of the prism to find the volume.

$\text{Volume of Prism}=120\times 22=2640$

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Example Question #62 : Prisms

Find the volume of the prism.

Possible Answers:

190

300

230

170

Correct answer:

300

Explanation:

To find the volume of the prism, use the following formula:

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

Since the base of this prism is a triangle, find the area of a triangle.

$\text{Area of Triangle}=\frac{\text{base}\times \text{height}}{2}$

$\text{Area of Triangle}=\frac{12\times 5}{2}=30$

Now, plug in the area of the base and the height of the prism to find the volume.

$\text{Volume of Prism}=30\times 10=300$

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Example Question #63 : Prisms

Find the volume of the prism.

Possible Answers:

902

908

896

888

Correct answer:

896

Explanation:

To find the volume of the prism, use the following formula:

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

Since the base of this prism is a triangle, find the area of a triangle.

$\text{Area of Triangle}=\frac{\text{base}\times \text{height}}{2}$

$\text{Area of Triangle}=\frac{16\times 8}{2}=64$

Now, plug in the area of the base and the height of the prism to find the volume.

$\text{Volume of Prism}=64\times 14=896$

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Example Question #64 : Prisms

Find the volume of the prism.

Possible Answers:

120

240

160

200

Correct answer:

160

Explanation:

To find the volume of the prism, use the following formula:

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

Since the base of this prism is a triangle, find the area of a triangle.

$\text{Area of Triangle}=\frac{\text{base}\times \text{height}}{2}$

$\text{Area of Triangle}=\frac{4\times10}{2}=20$

Now, plug in the area of the base and the height of the prism to find the volume.

$\text{Volume of Prism}=20\times 8=160$

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Example Question #65 : Prisms

Find the volume of the prism.

Possible Answers:

198

170

179

207

Correct answer:

198

Explanation:

To find the volume of the prism, use the following formula:

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

Since the base of this prism is a triangle, find the area of a triangle.

$\text{Area of Triangle}=\frac{\text{base}\times \text{height}}{2}$

$\text{Area of Triangle}=\frac{4\times 11}{2}=22$

Now, plug in the area of the base and the height of the prism to find the volume.

$\text{Volume of Prism}=22\times 9=198$

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Example Question #66 : Prisms

Find the volume of the prism.

Possible Answers:

1078

1022

1092

1050

Correct answer:

1050

Explanation:

To find the volume of the prism, use the following formula:

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

Since the base of this prism is a triangle, find the area of a triangle.

$\text{Area of Triangle}=\frac{\text{base}\times \text{height}}{2}$

$\text{Area of Triangle}=\frac{10\times 15}{2}=75$

Now, plug in the area of the base and the height of the prism to find the volume.

$\text{Volume of Prism}=75\times 14=1050$

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Example Question #71 : Prisms

Find the volume of the prism.

Possible Answers:

1496

1490

1508

1524

Correct answer:

1496

Explanation:

To find the volume of the prism, use the following formula:

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

Since the base of this prism is a triangle, find the area of a triangle.

$\text{Area of Triangle}=\frac{\text{base}\times \text{height}}{2}$

$\text{Area of Triangle}=\frac{8\times 17}{2}=68$

Now, plug in the area of the base and the height of the prism to find the volume.

$\text{Volume of Prism}=68\times 22=1496$

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Example Question #72 : Prisms

Find the volume of the prism.

Possible Answers:

870

816

858

780

Correct answer:

780

Explanation:

To find the volume of the prism, use the following formula:

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

Since the base of this prism is a triangle, find the area of a triangle.

$\text{Area of Triangle}=\frac{\text{base}\times \text{height}}{2}$

$\text{Area of Triangle}=\frac{8\times 13}{2}=52$

Now, plug in the area of the base and the height of the prism to find the volume.

$\text{Volume of Prism}=52\times 15=780$

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Example Question #73 : Prisms

Find the volume of a prism.

Possible Answers:

4740

4860

4900

4620

Correct answer:

4860

Explanation:

To find the volume of the prism, use the following formula:

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

Since the base of this prism is a triangle, find the area of a triangle.

$\text{Area of Triangle}=\frac{\text{base}\times \text{height}}{2}$

$\text{Area of Triangle}=\frac{12\times 30}{2}=180$

Now, plug in the area of the base and the height of the prism to find the volume.

$\text{Volume of Prism}=180\times 27=4860$

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Example Question #74 : Prisms

Find the volume of the prism.

Possible Answers:

672

636

648

660

Correct answer:

672

Explanation:

To find the volume of the prism, use the following formula:

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

Since the base of this prism is a triangle, find the area of a triangle.

$\text{Area of Triangle}=\frac{\text{base}\times \text{height}}{2}$

$\text{Area of Triangle}=\frac{8\times 12}{2}=48$

Now, plug in the area of the base and the height of the prism to find the volume.

$\text{Volume of Prism}=48\times 14=672$

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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 #61 : Prisms

Example Question #62 : Prisms

Example Question #63 : Prisms

Example Question #64 : Prisms

Example Question #65 : Prisms

Example Question #66 : Prisms

Example Question #71 : Prisms

Example Question #72 : Prisms

Example Question #73 : Prisms

Example Question #74 : Prisms

All Intermediate Geometry Resources

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