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Intermediate Geometry : Prisms

Study concepts, example questions & explanations for Intermediate Geometry

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8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #171 : Solid Geometry

Find the volume of the prism.

Possible Answers:

2456

2211

2871

2918

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 #1131 : Intermediate Geometry

Find the volume of the prism.

Possible Answers:

396

402

294

390

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 #171 : Solid Geometry

Find the volume of the prism.

Possible Answers:

1320

780

900

660

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 #41 : Prisms

Find the volume of the prism.

Possible Answers:

1338

1288

1344

1296

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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Example Question #21 : How To Find The Volume Of A Prism

Find the volume of the prism.

Possible Answers:

1728

1706

1694

1818

Correct answer:

1728

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.

$\text{Area of Trapezoid}=\frac{4+14}{2}(12)=108$

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

$\text{Volume of Prism}=108\times 16 =1728$

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Example Question #41 : Prisms

Find the volume of the prism.

Possible Answers:

972

900

890

920

Correct answer:

972

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.

$\text{Area of Trapezoid}=\frac{3+15}{2}(9)=81$

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

$\text{Volume of Prism}=81\times 12 =972$

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Example Question #1142 : Intermediate Geometry

Find the volume of the prism.

Possible Answers:

1900

1860

1890

1910

Correct answer:

1890

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.

$\text{Area of Trapezoid}=\frac{12+16}{2}(9)=126$

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

$\text{Volume of Prism}=126\times 15 =1890$

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Example Question #1143 : Intermediate Geometry

Find the volume of the prism.

Possible Answers:

7000

7200

6600

6800

Correct answer:

6600

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.

$\text{Area of Trapezoid}=\frac{20+24}{2}(10)=220$

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

$\text{Volume of Prism}=220\times 30 =6600$

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Example Question #181 : Solid Geometry

Find the volume of the prism.

Possible Answers:

4500

3900

3600

4200

Correct answer:

4200

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.

$\text{Area of Trapezoid}=\frac{4+24}{2}(10)=140$

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

$\text{Volume of Prism}=140\times 30 =4200$

Report an Error

Example Question #1145 : Intermediate Geometry

Find the volume of the prism.

Possible Answers:

4701

4901

4601

4801

Correct answer:

4901

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.

$\text{Area of Trapezoid}=\frac{9+17}{2}(13)=169$

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

$\text{Volume of Prism}=169\times 29 =4901$

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Intermediate Geometry : Prisms

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #171 : Solid Geometry

Example Question #1131 : Intermediate Geometry

Example Question #171 : Solid Geometry

Example Question #41 : Prisms

Example Question #21 : How To Find The Volume Of A Prism

Example Question #41 : Prisms

Example Question #1142 : Intermediate Geometry

Example Question #1143 : Intermediate Geometry

Example Question #181 : Solid Geometry

Example Question #1145 : Intermediate Geometry

All Intermediate Geometry Resources

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