Question

A right rectangular prism has edges measuring 3/4 inch, 1 inch, and 1/4 inch. How many cubes with side lengths of 1/4 would be needed to fill the prism?

Answer 1

Answer: 8

Step-by-step explanation:

Ask yourself how many can go into each number? 1/4=1.

1=4.

3/4=3.

Answer 2

Answer:

Step-by-step explanation:

Number of cubes = Volume of rectangular prism / Volume of 1 cube

Volume of rectangular prism= length * width * height

              $=\frac{3}{4}*1*\frac{1}{4}\\\\=\frac{3}{16}cubic inches$

Volume of Cube= edge * edge *edge

                  $=\frac{1}{4}*\frac{1}{4}*\frac{1}{4}\\\\=\frac{1}{64}cubic inches$

Number of cubes= (3/16)÷(1/64)

            $=\frac{3}{16}*\frac{64}{1}\\\\=3*4$

            = 12 cubes