mlmartin291979
mlmartin291979 mlmartin291979
  • 08-03-2022
  • Mathematics
contestada

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=

Respuesta :

kalebmckenzie90
kalebmckenzie90 kalebmckenzie90
  • 08-03-2022

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.

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