Answered

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A rectangular prism has a volume of
100 cm cubed. The base of the prism is a square,
and the height is the product of the length
and width of the prism. Find the
exact
dimensions of the prism.

Sagot :

The exact dimension of the prism is as follows;

  • height = x²
  • length = x
  • width = x

Volume of a rectangular prism

volume of rectangular prism = Bh

where

  • B = base area
  • h = height of the prism

Therefore,

volume  = 100 cm³

Hence, the base of the prism is a square. The whole side of the base is equal.

Therefore,

length = width = x

x² = h

Therefore,

x² × x × x = 100cm³

x⁴ = 100

volume = x = [tex]\sqrt[4]{100}[/tex]

learn more on rectangular prism here : https://brainly.com/question/21308574

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