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11 votes
11 votes
a match box has length x cm, width x +1 cm and height 3 cm. express its surface area as a function of x

User Jakebman
by
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1 Answer

28 votes
28 votes

Answer:

2x² + 14x + 6

Explanation:

A match box is in the shape of a right rectangular prism so we can use the formula for the surface area of such a solid

A=2(wl+hl+hw)

where l = length, w=width and h = height

Substituting l = x, w = x+1 and height = 3 we get

wl = x(x + 1) = x² + x

hl = 3x

hw = 3(x + 1) = 3x + 3

So A = 2( x² + x + 3x + 3x + 3)

A = 2(x² + 7x + 3)

A = 2x² + 14x + 6

User PatrickNolan
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3.2k points