Question

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?

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