10 2 Volume of Triangular Prisms

10-2 Volume of Triangular Prisms Find the volume of the prism. Round to the nearest tenth if necessary.

2.

SOLUTION:

The volume of the prism is 140.4 cubic meters. ANSWER: 4. A wheelchair ramp is in the shape of a triangular prism. It has an area of 37.4 square yards and a height of 5 yards. Find the volume of the ramp. SOLUTION:

The volume of the ramp is 187 cubic yards. ANSWER:

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10-2 Volume of Triangular Prisms Find the missing dimension of the triangular prism.

6. SOLUTION:

So, the missing side is 2 ft. ANSWER: 2 ft

8. SOLUTION:

So, the missing side is 4 m. ANSWER: 4 m

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10-2 Volume of Triangular Prisms 10. Be Precise Darcy built the dollhouse shown.

a. What is the volume of the first floor? b. What is the volume of the attic space?

SOLUTION: a. The first floor is a rectangular prism.

The volume of the first floor is 9,000 cubic inches. b. The attic space is a triangular prism.

The volume of the attic space is 3,600 cubic inches. ANSWER: a. b.

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10-2 Volume of Triangular Prisms 12. Identify Repeated Reasoning A rectangular prism and a triangular prism each have a volume of 210 cubic meters.

Find possible sets of dimensions for each prism. SOLUTION: Sample answer: Rectangular prism: length, 7 meters width, 5 meters height, 6 meters triangular prism: area of base, 35 square meters height, 6 meters Rectangular Prism

Triangular Prism

ANSWER: Sample answer: Rectangular prism: length, 7 width, 5 height, 6 triangular prism: area of base, 35 sq. meters height, 6 meters

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10-2 Volume of Triangular Prisms

14. Persevere with Problems Explain a method you could use to find the volume of the prism below. Then find the volume of the prism.

SOLUTION:

Sample answer: The formula for the volume of a prism is V = Bh, where B is the area of the base. Since the base is a

trapezoid, replace B with

, substitute, and simplify

The volume is 364 in?

ANSWER:

Sample answer: The formula for the volume of a prism is V = Bh, where B is the area of the base. Since the base is a

trapezoid, replace B with

, substitute, and simplify 364 in?

Find the volume of each prism. Round to the nearest tenth if necessary. 16.

SOLUTION:

The volume of the prism is 595 cubic yards. ANSWER:

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