- #1

Plutonium88

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## Homework Statement

A container in the form of a rectangular prism measuring 2m by 3m by 4m is covered with a layer of lead shielding of uniform thickness. Model the volume of the shielding as a function of its thickness. Treat the shelding as a hollow rectangular prism. DO NOT SIMPLIFY.

## Homework Equations

V=lxwxh

## The Attempt at a Solution

I found

l = 4m w = 3m h = 2m

when i drew each shape as a 2d shape. I noticed that the layer of lead was an equal (Uniform) layer around. So i labeled one unit of thickness, as t.

Thus all sides ended up having a layer on either side...

i came to conclude that the new measurements were.

L2=4 + 2t W2= 3 + 2t H2 = 2 + 2t

and since its hollow..

V(t) = L2*W2*H2 - Lwh

V(t) = (4+2t)(3+2t)(2+2t) - 4*3*2 <====(Or 24)

Can anyone tell me if this solution appears to be correct, and also point me out if I'm forgetting where any layers thickness maybe ?