Q:

A rectangular prism with a volume of 10 cubic units is filled with cubes with side lengths of 1/2 unit. How many 1/2 unit cubes does it take to fill the prism?

Accepted Solution

A:
Answer:80 cubes are needed to fill the rectangular prism completelyStep-by-step explanation:Volume of the rectangular prism is given to be : 10 cubic unitsNow, The prism is filled up with the smaller cubesSide Length of each smaller cube = 0.5 unitsVolume of each cube = (side)³                                      = (0.5)³                                      = 0.125 cubic units[tex]\text{No. of cubes needed to fill the rectangular prism = }\frac{\text{Volume of prism}}{\text{Volume of each cube}}\\\\ \implies\text{No. of cubes needed to fill the rectangular prism = }\frac{10}{0.125}=80[/tex]Therefore, 80 cubes are needed to fill the rectangular prism completely