Question

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?

Answer 1

Answer:

80

Step-by-step explanation:

volume of rect. prism = 10 units^3

volume of each cube =1/2*1/2*1/2

= 1/8 units^3

required cubes = 10/1/8 = 80

Answer 2

We recall that, if the side of a cube is $a \ unit$ then, the volume of a cube is $a^3 \ unit ^3$.

Given: Volume of a rectangular prism is $10 \ unit^3$ and the Side of the cube is $\frac{1}{2}\ unit$.

Volume of cube= $[\frac{1}{2}\ ]^3$

$=\frac{1}{8}\ unit^3$

Numbers of cubes fill inside the rectangular prism,$=\frac{Volume \ of \ a \ rectangular \ prism}{Volume \ of \ cube}$

$=\frac{10}{\frac{1}{8}}\\=10\times 8\\=80$