Question

A rectangle prism has a length of 12 in., a width of 5 in., and a height of 4 1/4 in.

The prism if filled with cubes that have edge lengths of 1/4 in.

How many cubes are needed to fill the rectangular prism?

Please enter your answer in the box

To fill the rectangular prism, ______ cubes are needed

PLEASE ANSWER I will be giving out 20 points

Answer 1

Hello!

We first have to find the volume of the rectangular prism

To find the volume we use the equation lwh

l is length
w is width
h is height

Put in the values

12 * 5 * 4 1/4 = 255

Now we have to find the volume of one cube

the volume of a cube is a cubed

a is a side of the cube

1/4 cubed is 1/64 or 0.015625

Now we divide this by the volume of the rectangular prism

255 / 0.015625 = 16320

The answer is 16320

Hope this helps!