The width of the box with a volume of 1536 cubic centimetres is 8.32 cm.
Volume
Volume is the amount of space that an object occupies. The volume of a box is given by:
Volume = length * width* height
Let w represent the width of the box.
The box's height is 4 times its width, hence:
Height = 4w
The height is six time the depth, hence:
depth = (1/6)height = (1/6)(4w) = (2/3)w
1536 = w * 4w * (2/3)w
w = 8.32 cm
The width of the box with a volume of 1536 cubic centimetres is 8.32 cm.
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