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

Calculate the volume of the composite solid A 1751 cm3 B 1911 cm3 C 2551 cm3 D 3551 cm3 Please select the best answer from the choices provided class=

Respuesta :

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 [tex]7 * 6 * 3.55[/tex] = 149.1.

For the volume of a pyramid, the equation is [tex]\frac{Base*height}{3}[/tex]. 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 [tex]\frac{3(7*6)}{3}[/tex]. 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.