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The top and bottom faces of a rectangular box are each 40 square cm in area. The front and back faces are 24 square cm each. The right and left faces of the box are each 15 square cm. What is the volume of the box?

Respuesta :

DWRead
LW = 40
L= 40/W

LH = 24
(40/W)H = 24
H = 24W/40 = 3W/5

WH = 15
H = 15/W

3W/5 = 15/W
3W^2 = 75
W = 5
H = 15/W = 3
L = 40/W = 8

Volume = LWH = 120 cubic cm

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