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a rectangular box of dimensions 24cm by 36cm by 48cm was fully packed with wooden cubes of the same size. at least how many cubes were there?

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joy123333

Answer:

24

Step-by-step explanation:

Find the GCF of 24, 36 and 48.

Prime factorization of:

24:    2*2*2*3

36:    2*2*3*3

48:    2*2*2*2*3

All numbers have at least two 2s and one 3.

2*2*3=12

The cubes must have been 12x12x12 largest size.

(24*36*48)÷(12*12*12)

=(41472)÷(1728)=24

At 12x12x12, 24 cubes would be packed.

There must be at least 24 cubes.

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