Question

Calculate the volume of the composite solid.

A.
175.1 cm^3
B.
191.1 cm^3
C.
255.1 cm^3
D.
355.1 cm^3



Please select the best answer from the choices provided

Answer 1

B.) 191.1 cubic cm.

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
`(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
`(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.