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Nutka1998 [239]
3 years ago
7

Calculate the volume of the composite solid.

Mathematics
1 answer:
Leokris [45]3 years ago
7 0

Answer:

B.) 191.1 cubic cm.

Step-by-step explanation:

First find the area of the rectangular prism. Because the formula is l * w * h, this becomes 7 * 6 * 3.55 = 149.1.

For the volume of a pyramid, the equation is \frac{Base*height}{3}. We already know the height, and because it's sitting on top of the rectangular prism, the base should have the same area. In other words, if the prism has a base of 7*6, then the pyramid can be found through \frac{3(7*6)}{3}. 7 Multiplied by 6 is 42, and since it's multiplied but also divided by 3, they cancel out, leaving only 42.

The sum of both of these shapes is 191.1 cm³.

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