Question

The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it. Find the volume of the solid in cubic millimeters.
A.60
B.300
C.540
D.780

Answer 1

So you need to find the volume for the rectangular prism (1) and the rectangular prism in the center of it (2)

The formula for a rectangular prism is:    

V = lwh         [Volume = length x width x height]      

1.

l = 15

w = 6

h = 6

V = lwh           Plug in the numbers

V = (15)(6)(6) = 540

2.

l = 15

w = 4

h = 4

V = lwh

V = (15)(4)(4) = 240

Next you subtract the volumes by each other because the rectangular prism in the center(2) is the hole/empty part of the rectangular prism(1)

V = V(1) - V(2)

V = 540 - 240

V = 300