# SOLUTION: heere's the tricky question:An open rectangular tub of uniform thickness 10cm has external dimensions 165cm*100cm*75cm. What volume is required to completely fill the tank?

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 Click here to see ALL problems on test Question 117943: heere's the tricky question:An open rectangular tub of uniform thickness 10cm has external dimensions 165cm*100cm*75cm. What volume is required to completely fill the tank?Answer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website!``` here's the tricky question:An open rectangular tub of uniform thickness 10cm has external dimensions 165cm*100cm*75cm. What volume is required to completely fill the tank? Let's get the internal dimensions from the external dimensions and the thickness of the walls and bottom: 1. To get the internal length, we must subtract the thickness TWICE from the external length of the tub, once for the thickness on the left side and once for the thickness on the right side. So the internal length of the tub is 165cm - 2×10cm = 165cm - 20cm = 145cm. 2. To get the internal width, we must subtract the thickness TWICE from the external length of the tub, once for the thickness on the front side and once for the thickness on the back side. So the internal width of the tub is 100cm - 2×10cm = 100cm - 20cm = 80cm. 3. To get the internal height, we must subtract the thickness ONLY ONCE from the external height of the tub for the thickness on the bottom side. We are told there is no top on the tub. So the internal length of the tub is 75cm - 10cm = 65cm. So volume of interior of tub = length×width×height = 145cm×80cm×65cm = 754000 cm³. Edwin```