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Lapatulllka [165]
3 years ago
11

Which solid has two bases that are triangles and three lateral surfaces that are rectangles?

Mathematics
1 answer:
arlik [135]3 years ago
5 0
Answer is triangular prism.

Pyramids have only 1 bases so they cannot be the answer. Prisms on the other hand have 2 bases. Prism sides are rectangles no matter of the shape of the bases.  In the text of the task it is required that bases are triangles therefore rectangular pyramid cannot be the answer.

Correct answer is triangular prism.
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Gabriel wants to paint the model. How
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Answer:

<h2>The area of the base is 144 square inches.</h2><h2>The area of each triangular face is 66 square inches.</h2><h2>Grabiel needs 408 square inches of paint.</h2>

Step-by-step explanation:

The complete problem is attached.

Notice that the figure is a square pyramid, where its base dimensions are 12 inches by 12 inches, which represents an area of

B=12 \times 12 = 144 \ in^{2}

The slant height of the pyramid is 11 inches, which allow us to find the area of each triangle face

A=\frac{1}{2}bh =\frac{1}{2}(12)(11)= 66 \ in^{2}

But there are four triangle faces, so A_{faces} =4(66)=264 \ in^{2}.

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111

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