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Consider the net of a triangular prism where each unit on the coordinate plane represents four feet. If a sheet of plywood measures 4 ft x 8 ft, how many sheets of plywood will a carpenter need to build the prism?

A) 2
B) 3
C) 4
D) 5

Consider the net of a triangular prism where each unit on the coordinate plane represents-example-1

2 Answers

6 votes

Answer:A

Step-by-step explanation: HI

User Timraybould
by
9.0k points
6 votes

Answer:

2 sheets of plywood will be needed.

Explanation:

See the attached diagram.

Each three square plywood has area 1 units by 3 units = 4 feet by 12 feet = 48 feet square. {Since each unit on the coordinate plane represents four feet}

Now, the two triangular plywood has area half of a unit square area.

So, two triangular plywood has total area = 1 unit by 1 unit = 4 feet by 4 feet = 16 feet square.

Therefore, the total area of plywood required to make the triangular prism is (48 + 16) = 64 feet square.

Now, if a sheet of plywood measures 4 ft by 8 ft i.e. 32 feet square, then the carpenter will need
(64)/(32) = 2 such sheets of plywood. (Answer)

User ROHIT PARMAR
by
8.1k points
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