The volume of the rectangular water tank is 240 cubic feet. The width of the tank is 4 feet less
than the length and 2 feet more than the height. Find the dimensions of the tanks.
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The volume of the rectangular water tank is 240 cubic feet. The width of the tank is 4 feet less
than the length and 2 feet more than the height. Find the dimensions of the tanks.
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Answer:
V=L.WH
Step-by-step explanation:
v=240
l=10
w=6
h=4
substitute:
240=(10)(6)(4)
240=240✓
solution:
v=l.w.h
240=(x²)(x+4)(-x)
240=x²+2x-8x
x²+2x-8x-240=0
possible real root:positive or negative:1,2,3,4,5,6..
using synthetic diviasions
6 1 2 -8 -240
6. 48. 240
1. 8. 40. 0
x=6
D=8²-4(1)(40)=-96
x=6
to check
240=(x-2)(x+4)(-x)
240=(6-2)(6+4)(-6)
240=(4)(10)(-6)
240=-240