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madreJ [45]
3 years ago
13

Consider the triangular prism below. What would be the volume of a prism that is 3 times as large?

Mathematics
1 answer:
Verdich [7]3 years ago
8 0

We have been given a triangular prism. We are asked to find the volume of a prism that is 3 times as large.

The sides of base of triangular prism and height of new prism would be 3 times the sides and height of original prism.

\text{Base length}=3\times 3=9

\text{Height}=3\times 5=15

We can see that base of prism is a right triangle, so base length will be 9 and height of triangle will be 9 as well.

\text{Area of base}=\frac{1}{2}\times 9\times 9

\text{Area of base}=\frac{1}{2}\times 81

\text{Area of base}=40.5

Volume of prism would be base area times height of prism.

V=bh

V=40.5\times 15

V=607.5

Therefore, the volume of the prism that is 3 times as large as given prism would be 607.5 and option D is the correct choice.

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