Unit Cubes
How many unit cubes fit in a prism with dimensions 3x2x2?
12 cubes
What is the formula to find the volume of a rectangular prism?
Volume = length × width × height
Multiply 12 × 9.
108
Sarah’s box is 5 cm long, 4 cm wide, and 3 cm tall. What is the volume of her box?
60 cubic cm
If the volume of a rectangular prism is 48 cubic units and the base area is 12 square units, what is the height?
4 units
If a rectangular prism is packed with 24 unit cubes, what are two possible sets of dimensions?
2x3x4 or 1x6x4
A prism has a base area of 12 square units and a height of 5 units. What is the volume?
60 cubic units
Multiply 23 × 4
92
A fish tank is 10 units long, 6 units wide, and 8 units tall. What is the volume of the tank?
480 cubic units
A rectangular prism has a volume of 180 cubic units and a height of 5 units. What is the area of the base?
36 square units
A rectangular prism is packed with unit cubes in 3 layers. Each layer has 15 cubes. What is the total volume?
45 cubic units
How do you find the volume if you only know the area of the base and the height?
Multiply the area of the base by the height
Multiply 125 × 8
1,000
A storage container has a base of 25 square units and is 7 units tall. What is the volume?
175 cubic units
The volume of a box is 300 cubic units. If the box’s height is 10 units and its width is 5 units, what is its length?
6 units
If the base of a prism has 20 unit cubes and there are 5 layers, what is the volume?
100 cubic units
A prism has dimensions of 7x4x3. Find the volume
84 cubic units
Multiply 324 × 7
2,268
If a prism is 9 inches long, 3 inches wide, and 2 inches high, what is the volume of the prism?
54 cubic inches
A rectangular prism’s base has an area of 24 square units. If the height is tripled, how does the volume change?
The volume will be tripled.
What does it mean if a prism is packed with unit cubes “without gaps or overlaps”?
It means that the cubes fit perfectly together, covering the entire space inside the prism.
Explain how multiplying the area of the base by the height helps you find the volume.
The base represents one layer of cubes, and the height tells how many layers there are. Multiplying the base by the height gives the total number of cubes.
Multiply 216 × 5
1,080
A box is 8 units long, 6 units wide, and 5 units tall. If you fill it with unit cubes, how many cubes will fit?
240 unit cubes
A prism has a volume of 400 cubic units, with a length of 10 units and a height of 8 units. What is the width?
5 units