Question

Find the volume of the figure.

Answer 1

165 in^3

Explanation:

split into 2 rectangular prisms

volume = length x width x height

prism on the left:

length = 7 in

width = 3 in

height = 4 in

volume = 7 x 3 x 4 = 84 in^3

prism on the right:

length = 3 in

width = 3 in

height =9 in

volume = 3 x 3 x 9 = 81 in^3

total volume:

84 + 81 = 165 in^3

Answer 2

165 in³

Explanation:

The cuboid on the right is 9 in high and 3 in square, so has a volume of ...

Vright = (9 in)(3 in)² = 81 in³

The cuboid on the left is 7 inches long, 4 inches high, and 3 inches deep, so has a volume of ...

Vleft = (7 in)(4 in)(3 in) = 84 in³

Then the total volume is ...

V = Vright + Vleft = 81 in³ +84 in³ = 165 in³