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liraira [26]
3 years ago
10

The volume of a box with a rectangular base is 3072 cm3.the length of the side are in the ratio 1:2:3.calculate the length of th

e shortest side
Mathematics
1 answer:
masha68 [24]3 years ago
5 0
The volume of the box is 3072 cm^3.
Getting the dimensions given the ratio 1:2:3, we can formulate the equation deriving it from the formula of the volume of the box:
Volume = l * w * h
Volume = 1x * 2x * 3x
<span>3072 = 1x * 2x * 3x
</span>3072 = 6x^3
x^3 = 512
x = cube root (512)
x = 8 cm
2x = 16 cm
3x = 24 cm

So the shortest side is 8cm.
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