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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

The threedimensional 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 vol class=

Respuesta :

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

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