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What is the volume of the composite figure?

What is the volume of the composite figure?-example-1
User Morcutt
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2 Answers

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

V=84+56

V=140 in^3
User Mukesh Panchal
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4 votes

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.

User TryingToTry
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