Question

A rectangular tank measuring 50cm by 50cm by 42cm was 2/3 filled with water.when a stone was placed in the tank, the tank became 3/4 full.(a) Find the capacity of the tank in cubic centimeters.(b) Find the volume of the stone.

Answer 1

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Volume of the tank = 50 x 42 x 50

= 105000 cm^2

Volume of 2/3 of the tank = 2/3 x 105000

= 70000 cm^3

Volume of 3/4 of the tank = 3/4 x 105000

= 78750 cm^3

a) Capacity of the tank = 105000 cm^3

b) Volume of the stone = 78750 - 70000

= 8750 cm^3