Question

A rectangular prism has a length of 20 in., a width of 2 in., and a height of 314 in.

The prism is filled with cubes that have edge lengths of 14 in.

How many cubes are needed to fill the rectangular prism?

Enter your answer in the box.

To fill the rectangular prism,
cubes are needed.

Answer 1

8320

Explanation:

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Answer 2

first solve the volume of the prism
V = l x w x h
where l is the length
w is the width
h is the hieght

V = 20 x 2 x 314
V = 12560 cu in

then solve the volume of the cube
V = e^3
V = 14^3
V = 2774 cu in

number of cube = 12560 / 2774
number of cube = 4 cubes