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The dimensions of a triangular prism are shown.

The dimensions of a triangular prism are shown.-example-1

2 Answers

4 votes

Answer:

That would be the answer B

Explanation:

User Raquel
by
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4 votes

9514 1404 393

Answer:

B. 32 square inches

Explanation:

Each of the two triangular faces has an area of ...

A = (1/2)bh = (1//2)(6 in)(4 in) = 12 in²

The lateral surface area is the product of the prism height (0.5 in) and the perimeter of the base.

LA = (0.5 in)(5 in +5 in + 6 in) = 8 in²

So, the total area is the area of the two base and the lateral area:

SA = 2A +LA

SA = 2(12 in²) +8 in² = 32 in²

The surface area of the prism is 32 square inches.

User Sal Celli
by
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