A pyramid has a rectangular base with length twice the width. If the height is 6cm, and the volume is 256cm^3, what are the dimensions of the rectangular base

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The volume of a pyramid is ⅓Ah where A is the base area. If w=width, then A=w×2w=2w².

So ⅓(2w²)6=256, 4w²=256, w²=64, w=8cm so length=16cm.

The dimensions of the rectangular base are length=16cm and width=8cm.

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