What is volume?
The amount of space inside a three-dimensional object.
A rectangular prism has a length of 5 units, a width of 3 units, and a height of 2 units. What is its volume?
30 cubic units
A rectangular prism has a volume of 24 cubic units. Its length is 4 units and its width is 2 units. What is its height?
3 units
How many unit cubes are needed to completely fill a rectangular prism with dimensions 3 × 2 × 2?
12 unit cubes
A fish tank is 10 inches long, 4 inches wide, and 5 inches tall. What is its volume?
200 cubic inches
What is the formula for finding the volume of a rectangular prism?
V = l × w × h
Find the volume:
Length = 6 units
Width = 4 units
Height = 3 units
72 cubic units
A box has a volume of 60 cubic inches. Its length is 5 inches and its width is 3 inches. What is its height?
4 inches
A cube has side lengths of 4 units. What is its volume?
64 cubic units
A storage box has dimensions of 8 feet × 3 feet × 2 feet. How much space is inside the box?
48 cubic feet
What does each letter represent in V = l × w × h?
V = volume, l = length, w = width, h = height.
A box is 8 inches long, 5 inches wide, and 2 inches tall. What is its volume?
80 cubic inches
A rectangular prism has a volume of 120 cubic centimeters. Its length is 10 cm and its height is 3 cm. What is its width?
4 cm
How many unit cubes are needed to build a cube that is 5 units long, 5 units wide, and 5 units high?
125 unit cubes
A classroom bookshelf has a space that is 6 feet long, 2 feet wide, and 5 feet high. What is the volume of the space?
60 cubic feet
What is the unit used to measure the volume of a rectangular prism that is 4 units long, 3 units wide, and 2 units high?
Cubic units
A rectangular prism has dimensions of 9 cm × 4 cm × 5 cm. What is its volume?
180 cubic centimeters
A rectangular prism has a volume of 168 cubic feet. Its length is 7 feet and its width is 4 feet. What is its height?
6 feet
A rectangular prism is built using 48 unit cubes. If the prism is 4 cubes long and 3 cubes wide, how many cubes high is it?
4 cubes high
A shipping box has a volume of 240 cubic inches. It is 10 inches long and 6 inches wide. How tall is the box?
4 inches
Explain why volume is measured in cubic units instead of square units.
Volume measures the space inside a three-dimensional object, so it is measured using cubes, or cubic units.
A rectangular prism has a length of 12 feet, a width of 3 feet, and a height of 4 feet. What is its volume?
144 cubic feet
A rectangular prism has a volume of 360 cubic units. Its length is 12 units, its width is 5 units, and its height is unknown. What is the height? Explain how you know.
6 units
A cube has a volume of 216 cubic units. What is the length of each side?
6 units
6 × 6 × 6 = 216
A rectangular swimming pool is 15 meters long, 8 meters wide, and 2 meters deep. What is the volume of the pool? Show your work.
240 cubic meters
15 × 8 × 2 = 240