Volume Question 4

The dimensions, in inches, of 2 rectangular prisms are shown in the figure below. The volume of the large prism is the same as the volume of how many of the small prisms?

2

4

6

7

12

Approach

The volume of the smaller prism:

V =lwh

V=xyz

The volume of the larger prism:

V=lwh

V=(2x)(2y)(3z)

V= 12xyz

The volume of the larger prism is $\boxed{12}$ times greater.