Question

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?

Answer 1

Answer:

7h

Step-by-step explanation:

Answer 2

The volume of a rectangular prism is 336 cubic centimeters. The height of the prism is 21 centimeters.

How to find the volume and base area of a right rectangular pyramid?

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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