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There are many square prisms with volume 248 in. Let w represent the side length of the
square base and h represent the height in inches. Then the formula for the volume V, in cubic
inches, of these prisms is V = w2h and the equation for the surface area S, in square inches, is
S = 2w^2 + 4wh.

Write an equation for S as a function of w when the volume of the prism is 248 in^3. Explain or show your work.


Sagot :

Answer:

Step-by-step explanation:

V=248 in³

V=W²h

h=V/W²=248/W²

S=2W²+4W×248/W²

S=2W²+992/W