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How many cubes with edge lengths of 1/4 in. will it take to fill the prism?
56 cubes
375 cubes
6000 cubes


How Many Cubes With Edge Lengths Of 14 In Will It Take To Fill The Prism 56 Cubes 375 Cubes 6000 Cubes class=

Answer :

Answer:

1560

Step-by-step explanation:

First (2 1/2)/(1/4) = (5/2)(4) = 20/2 = 10

Next, 3/(1/4) = 3(4) = 12

Lastly, (3 1/4)/(1/4) = (13/4) x 4 = 52/4 = 13

This means we need 10 rows of 12, 13 high. 10(12)(13) = 1560 cubes.

Another way is to multiply 2 1/2 x 3 x 3 1/4 = 5/2 x 3 x 13/4 = 195/8

A 1/4 inch cube is 1/4 x 1/4 x 1/4 for a volume of 1/64

(195/8)/(1/64) = (195/8)(64) = 1560 cubes.