Question

Haley used unit cubes to build a rectangular prism that is 5 units long, 3 units wide, and 4 units tall. Jeremiah used unit cubes to build a rectangular prism that has twice the volume of Haley's prism. Jeremiah's prism is 4 units long and 3 units wide. How tall is Jeremiah's prism?

Answer 1

10 units

Explanation:

Let us find the volume of Haley's prism and compare it with the volume of Jeremiah's.

The volume of Haley's prism is:

V = 5 * 3 * 4 = 60 cubic units

Jeremiah's prism has twice the volume of Haley's:

V(J) = 2 * 60 = 120 cubic units

This implies that:

120 = 4 * 3 * h

where h = height of prism

=> 120 = 12h

=> h = 120 / 12 = 10 units

Jeremiah's prism is 10 units tall.