A rectangular prism measure 7 1/2 by 12 by 15 1/2

Calculate the number of cubes with edge length 1/2 cm that fit in this prism.

What is the volume of the prism in cm? If you are stuck, think about how many cubes with 1/2-cm edge lengths fit into 1 cm.

Step-by-step explanation:

Volume of a rectangular prism is length * height * width

Length=7 1/2

Width = 15 1/2

Height=12

Volume of the prism is therefore:

7 1/2*12*15 1/2 = 1395cm3

No of cubes with edge length 1/2 to fit into the prism will be:

Volume of cube is L*W*H

1/2*1/2*1/2 = 1/8cm3

Therefore the no of cubes to fit into the Prism will be:

1395 / (1/8) = 11160 cubes.

If one was stuck, the number of 1/2 edge length cube to fit into 1cm will be:

1 / (1/8) = 8 cubes