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Pachacha [2.7K]
3 years ago
13

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
Mathematics
1 answer:
horsena [70]3 years ago
7 0

Answer:

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

Step-by-step 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

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