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Westkost [7]
3 years ago
5

What is the volume of the prism given below?

Mathematics
1 answer:
bija089 [108]3 years ago
8 0

Answer:

C. 456 cubic units

Step-by-step explanation:

The bases of this prism are two right trianles with legs 6 units and 8 units. The area of the base is

A_{base}=\dfrac{1}{2}\cdot \text{leg}_1\cdot \text{leg}_2\\ \\A_{base}=\dfrac{1}{2}\cdot 6\cdot 8=24\ un^2.

The volume of the prism is

V=A_{base}\cdot H

The height of the prism is 19 units, so

V=24\cdot 19=456\ un^3

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Then we apply the changes made to our sides, so the two equal sides would become x - 4, and the base would become y + 6. We can now set these equal to each other as it states that all sides are equal when this change occurs.


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