Volume and Surface Area of Prisms

Rule

Volume of a Rectangular Prism

Consider a rectangular prism with a width w, length l, and height h.

The volume of the prism is calculated by multiplying the area of the base by the height of the prism.

V = wl h

Proof

The volume of a prism can found by multiplying the base area B and height h. V=B* h The base of a rectangular prism is a rectangle. The area of a rectangle is the product of its width w and length l. B=wl Substitute this expression for B in the first formula. V= B* h ⇓ V= wl h This process produces the formula for the volume of a rectangular prism.

Exercises
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