Question

Nathan is filling a box with 1-inch cubes. He filled the bottom layer as shown. Nathan wants to completely fill the box.

How many cubes will Nathan need in all?




A.
18

B.
26

C.
144

D.
180

Answer 1

We need to find the volume of this box.

V = width * length * height =3*6*8=144 inch³

Because volume of each cube = 1 inch³,

so we need 144 cubes.

Answer is C.

Answer 2

The dimensions of the entire rectangular prism are 3 inches by 6 inches by 8 inches.

volume of rectangular prism = length * width * height

volume = 3 * 6 * 8 = 144

He needs 144 small cubes.