Volume and Density Problems
Sketch a drawing of each situation, then solve.
1. A rock is added to a container of water and it raises the
water level by 3 cm. If the container is a rectangular prism
whose base measures 15 cm x 10 cm, what is the volume
of the rock?
2. A solid glass ball is dropped into a cylinder with a
radius of 6cm, raising the water level by 1 cm. What is
the volume of the glass ball?
3. A pitcher of water is filled to the top with water and
placed on a cookie sheet. You drop two avocados into the
pitcher and the water spills over the edge of the pitcher into
the cookie sheet beneath. If the cookie sheet is 60cm by
30 cm and the water has a depth of 2mm, find the volume
of the two avocados. Roughly, what is the volume of
each avocado?
4. A cylindrical glass 10 cm tall and 8 cm in diameter is
filled to 1 cm from the top with water. If a golf ball
4 cm in diameter is dropped into the glass, will the
water overflow?
5. A block of ice is placed into an ice chest containing water.
The ice causes the water level to rise 4 cm. The ice chest
measures 35 cm by 50 cm by 30cm high. When ice floats in
water, one tenth of its volume floats above the water level and
nine tenths floats beneath the water level. What is the volume
of the block of ice?
6. Using the same ice information, if you add a big piece of
ice to a glass find the volume of the ice. The glass is a
cylinder with a diameter of 8 cm and the ice raised the
level of the water by ½ cm. Find the volume of the ice.