Question

What is the volume of the composite figure?

Answer 1

V=(4*7*3)+(3*7*(12-4))/3

V=84+56

V=140 in^3

Answer 2

Answer: The volume of the composite figure is 140 in³.

Step-by-step explanation: We are given to find the volume of the composite figure shown in the diagram.

The figure is composed of two geometrical figures :

(A) A cuboid of dimension 3 in. by 4 in. by 7 in.

So, the volume of the cuboid will be

`V_c=3*4*7=84~\textup{in}^3.`

(B) A rectangular pyramid of height 8 in. and base of dimension 3 in. by 7 in.

So, the volume of the pyramid will be

`V_p=(8*3*7)/(3)=56~\textup{in}^3.`

Therefore, the volume of both the cuboid and pyramid is

`V=V_c+V_p=84+56=140~\textup{in}^3.`

Thus, the required volume of the composite figure is 140 in³.