Question

7. A rectangular prism measures 7 1/2 cm by 12 cm by 15 1/2 cm. a. Calculate the number of cubes with edge length cm that fit in this prism. b. What is the volume of the prism in cm3? Show your reasoning. If you are stuck, think about how many cubes with -cm edge lengths fit into .

Answer 1

a.The number of cubes with edge length 1/2 cm that fit in this prism= 2520

b. Volume of the prism= 315 cm³

Explanation:

Volume of the rectangular prism = length *width * height

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

= 7 * 6* 15 1/2

= 7*3*15

= 315 cm³

Volume of the cube = length *width * height

= 1/2 *1/2 *1/2

= 1/8 cm³

Now number of cubes that would fit in the rectangular prism is given by

= Volume of the prism/ Volume of the cubes

= 315/1/8

= 2520

The number of cubes with edge length cm that fit in this prism= 2520