Question

A rectangular tank has a length of 3 ft, a width of 4 ft, and a height of 5 ft. The tank is half filled with water. If a metal cube with the sides that are 1 ft long is submerged in the water, by how many INCHES will the level of the water rise?

Answer 1

MMMM... In... Christian please XD

Answer 2

60 = volume of tank

Answer 3

Volume of tank = 3*4*5 = 60
Tank is half filled so there is 30 cubic feet of water
height of water is 2.5ft
Volume of cube = 1^3 = 1
height of cube is 1 ft, so volume of water in first foot is displaced by 1.
New volume for first foot of water = (3*4*1)-1 = 11
That leaves 19 cubic feet of water left
19 = 3*4*h
h = 19/12
total height of water is 19/12 +1 = 31/12
Subtract 2.5 or 30/12
31/12 - 30/12 = 1/12
water rose 1/12 feet or 1 inch