Question

Suppose there are n rectangular prisms stacked on top of each other in various ways to form one solid. Each has L=w and a height of h. Using cavaliers principle, what is the volume of the solid

Answer 1

V = nl^2h or V = nw^2h

Explanation:

The computation of the volume of the solid is given below:

Here the volume of the sold would be considered as the volume of 1 prism i.e. rectangular times n

Now as we know that

The volume of a rectangular prism is V is

lwh.

As L = w

Here cross section would become a square

So

V = l^2h

So,

The volume of the resulting solid would be

V = nl^2h or V = nw^2h