A rectangular water tank is 14.5 cm long and 4.63 cm wide. If 368.5 g of water completely fills the tank, the height of the tank is ________ cm. (Assume the density of water is 1.000 g/ml.)
A)6.45
B)5.49
C)14.0
D)3.68
E)4.62

Question

Quizplus · Accepted Answer

The volume of the water tank can be found by multiplying its length, width, and height. Let's represent the height of the tank by "h".

Volume of tank = length x width x height
V = 14.5 cm x 4.63 cm x h
V = 67.0855h cm^3

We know that the density of water is 1.000 g/ml, which means that 1 cm^3 of water is equal to 1 gram. Therefore, the mass of the water in the tank is equal to its volume in cm^3.

Mass of water = volume of water = 368.5 g

We can use this information to find the height of the tank.

V = m/density
67.0855h = 368.5 g / 1.000 g/cm^3
h = 5.49 cm

Therefore, the height of the tank is 5.49 cm.

A Rectangular Water Tank Is 14