Question

A box has a 6cm square base and contains water to a height of 7cm. (a) When a solid is lowered into the water so as to be completely immersed, the water rises to a height of 9cm. What is the volume of the solid?

a) 54 cm³
b) 72 cm³
c) 90 cm³
d) 108 cm³

Answer 1

The volume of the solid is b) 72 cm³.

Step-by-step explanation:

To find the volume of the solid, we can compare the change in water level before and after the solid is immersed. Initially, the water level is at 7cm, and after immersing the solid, it rises to 9cm. The difference in the water levels, 9cm - 7cm = 2cm, represents the volume of the solid.

Since the base of the box is a square with a side length of 6cm, the volume of the solid can be calculated as 6cm * 6cm * 2cm = 72 cubic centimeters.

Therefore, the correct answer is (b) 72 cm³.