Intermediate Geometry : How to find the volume of a prism

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

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

Find the volume of the prism.

4

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the volume of any prism.

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

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

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

Example Question #22 : How To Find The Volume Of A Prism

Find the volume of the prism.

5

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the volume of any prism.

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

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

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

Example Question #23 : How To Find The Volume Of A Prism

Find the volume of the prism.

7

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the volume of any prism.

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

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

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

Example Question #24 : How To Find The Volume Of A Prism

Find the volume of the prism.

8

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the volume of any prism.

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

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

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

Example Question #25 : How To Find The Volume Of A Prism

Find the volume of the prism.

9

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the volume of any prism.

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

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

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

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

Find the volume of the prism.

10

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the volume of any prism.

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

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

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

Example Question #27 : How To Find The Volume Of A Prism

Find the volume of the prism.

11

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the volume of any prism.

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

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

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

Example Question #28 : How To Find The Volume Of A Prism

Find the volume of the prism.

12

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the volume of any prism.

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

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

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

Example Question #29 : How To Find The Volume Of A Prism

Find the volume of the regular hexagonal prism.

1

Possible Answers:

Correct answer:

Explanation:

13

Recall the formula to find the volume of any prism:

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

Plug in the given side to find the area of the base.

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

Remember to round to  places after the decimal.

Example Question #30 : How To Find The Volume Of A Prism

Find the volume of the regular hexagonal prism.

2

Possible Answers:

Correct answer:

Explanation:

13

Recall the formula to find the volume of any prism:

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

Plug in the given side to find the area of the base.

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

Remember to round to  places after the decimal.

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