Question

A water-tank has a base with dimensions 2 feet by 6 feet. If a cube with each side 1
foot is totally immersed in the water, how many inches will the water rise? (12inches
= 1 foot)

Answer 1

The increase of volume = volume of the cube = 1 cubic foot  =  1728 cu ins
Area of the base =  12 sq ft  = 12 * 144 =    1728  sq ins
The height of increase  =  1728 /  1728  = 1 inch Answer

Answer 2

If a water bank has a base with dimensions 2 feet by 6 feet and a cube of side 1 foot is totally immersed in the water then the water will rise by 1 inch.

What is volume?

Volume is the amount of substance a container can hold its capacity. Volume of cube is the product of its sides.

How to calculate height?

Volume of cube=side*side

=1*1

=1 cubic foot.

1 foot=1728 inches

So the volume of cube is equal to 1728 cubic inches.

Area of base=Length* breadth

=2*6

=12 cubic feet

1 feet=144 inches

12 cubic feet=12*144

=1728 cubic inches.

Increase in height=Area of base/volume of cube

=1728/1728

=1 inches.

Hence the water will rise by 1 inch if cube of side 1 is immersed in the tank.

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