Question

How many cubes are needed to complete fill the box

Answer 1

108

Explanation:

Look at the figure.

Along the length of the prism, you can fit 9 cubes.

Along the width of the prism, you can fit 4 cubes.

Along the height of the prism, you can fit 3 cubes.

9 × 4 × 3 = 108

Answer: 108 cubes

Answer 2

step 1

Find out the volume of the rectangular prism

V=L*W*H

L=4 1/2 in=4.5 in

W=2 in

H=1 1/2 in=1.5 in

so

V=(4.5)(2)(1.5)

V=13.5 in3

step 2

Find out the volume of one 1/2 in cube

V=(1/2)^3

V=1/8 in3

step 3

Divide the total volume of the prism by the volume of one 1/2 in cube

13.5/(1/8)=13.5*8=108

therefore

the answer is 108 cubes