A rectangular shipping container has a volume of 2500 cubic cm. The container is 4 times as wide as it is deep, and 5cm taller than it is wide. What are the dimensions of the container?

Question

Mathematics

Kale Chapman

15 March, 23:41

A rectangular shipping container has a volume of 2500 cubic cm. The container is 4 times as wide as it is deep, and 5cm taller than it is wide. What are the dimensions of the container?

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Answers (1)

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Patton · Answer 1

2500 cubic cm is not a large container!

Let W=width

then

Depth=W/4

H=W+0.05

Volume

V=2500=W * (W/4) * (W+5)

=> W^3+5W^2-10000=0

Factor:

(W-20) (W^2+25W+500) = 0

=>

W=width=20 cm.

W/4=depth=20/4=5 cm

W+5=height=20+5=25 cm

Check: 20*5*25=2500 cm^3 ok