Small cubes with edge lengths of 1/4 inch will be packed into the right rectangular prism. How many small cubes are needed to completely fill the right rectangular prism?

Question

The height is 3 3/4 inches, the width is 5 inches, length is 4 1/2 inches. ( the small cubes will be 1/4 in.)
How do I solve this problem.

Answer 1

One way: divide the big volume by the small volume:

(3 3/4)(5)(4 1/2) / (1/4)^3 = (675/8) / (1/64) = 5400

Another way: decide how many cubes it takes to fit each of the larger dimensions

(3 3/4) / (1/4) = 15
5 / (1/4) = 20
(4 1/2) / (1/4) = 18

So, the prism is 15x20x18 cubes = 5400

Answer 2

5400

Answer 3

5400

Answer 4

A right cubic prism has edges of 1
3
4 inches. How many cubes with side lengths of
1
4 inches would be needed to fill the prism?

Answer 5

How many cubes with edge lengths of 1/4 foot could fit in the cabinet?

Answer 6

5408.6538

Answer 7

it is 5400

Answer 8

What socercy is this

Answer 9

yes

Answer 10

also yes

Answer 11

I've seen better side of beef been run over by a combine!

Answer 12

its 315!

Answer 13

I have a question!! Small cubes with edges lengths of 1/4 inch will be packed into the right rectangular prism shown. 7, 4, and 3......... How many small cubes are needed to completely fill the right rectangular prism? PLZ ANSWER!!!!!!!!!!!!