Question

A rectangular prism measures 7 & 1/2 cm by 12 cm by 15 & 1/2 cm. Calculate the number of cubes with edge length 1/2 cm that fit in this prism.

Answer 1

Answer: 8 cubes

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