Question

The dimensions in inches of a shipping box can be expressed as width x, length x + 1, and height x - 4. The volume is 84 ft^3. Find the dimensions of the box in feet.

1, 1, 4
2, 2, 21
2, 6, 7
3, 4, 7

Please help? If somebody can help put this into an equation for me, I can do the rest. Thanks

Answer 1

w = x
L = (x+1)
H = (x-4)

w L H = 84
so
x(x+1)(x-4) = 84

but the easy way is to look at the answers listed
7 is one bigger than 6
4 is one bigger than 3
so it must be one of the last two
if x = W = 6
L=7
H=6-4 = 2
that works
if x =W= 4
L = 5 etc, does not work
so
2,6,7 works

(a cubic has more than one solution)

Answer 2

Okay, cool. Thanks a lot, Damon!:)

Answer 3

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Answer 4

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1. a
2.b
3.a
4.d
5.d
6.c
7.a
8.b
9.a
10.d
11.c

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