The volume of a rectangular prism is 336 cubic centimeters. The area of the base of the prism is 48 square centimeters. What is the height of the prism?
The volume of a rectangular prism is 336 cubic centimeters. The height of the prism is 21 centimeters.
Suppose the base of the pyramid has length = l units, and width = w units.
Suppose that the height of the pyramid is of h units,
then:
\(v = \dfrac{l \times w \times h}{3} \: \rm unit^3\) is the volume of that pyramid.
The base is a rectangle with length = L units, and width = W units, so its area is:
\(b = l \times w\: \rm unit^2\)
The volume of a rectangular prism is 336 cubic centimeters.
\(v = \dfrac{l \times w \times h}{3} \: \rm unit^3\)
3 x 336 = lwh
lwh = 1008
The area of the base of the prism is 48 square centimeters.
48 x h = 1008
h = 21
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