Volume: Counting Cubic Units
Find volume by counting and multiplying cubic units
Volume: Counting Cubic Units
Find volume by counting and multiplying cubic units
Math - Grade 4-5
- 1
A box is filled with unit cubes. The bottom layer has 3 rows with 4 cubes in each row. There are 2 layers. What is the volume of the box in cubic units?
Find the number of cubes in one layer first, then multiply by the number of layers.
The volume is 24 cubic units because each layer has 3 x 4 = 12 cubes, and 12 x 2 = 24 cubes. - 2
A rectangular prism is 5 unit cubes long, 2 unit cubes wide, and 3 unit cubes tall. What is its volume?
The volume is 30 cubic units because 5 x 2 x 3 = 30. - 3
Count the cubes in a prism that has 6 cubes in one layer and 4 equal layers. What is the volume?
Use repeated addition or multiplication.
The volume is 24 cubic units because 6 cubes in each layer times 4 layers equals 24 cubes. - 4
A stack of unit cubes is shown as 2 cubes long, 2 cubes wide, and 2 cubes tall. How many unit cubes are in the stack?
There are 8 unit cubes in the stack because 2 x 2 x 2 = 8. - 5
A storage crate has a volume of 36 cubic units. It is 4 units long and 3 units wide. How many unit layers tall is it?
Find how many cubes fit in one bottom layer before finding the height.
The crate is 3 units tall because the base has 4 x 3 = 12 cubes, and 36 divided by 12 equals 3 layers. - 6
Maya builds a rectangular prism with 4 cubes in each row, 2 rows in each layer, and 5 layers. What is the volume of Maya's prism?
The volume of Maya's prism is 40 cubic units because 4 x 2 x 5 = 40. - 7
A prism has a bottom layer with 3 cubes across and 5 cubes back. It is 1 layer tall. What is the volume?
A prism that is 1 layer tall still has volume.
The volume is 15 cubic units because 3 x 5 x 1 = 15. - 8
Which prism has the greater volume: Prism A is 3 units by 3 units by 2 units, and Prism B is 4 units by 2 units by 2 units?
Prism A has the greater volume. Prism A has 3 x 3 x 2 = 18 cubic units, and Prism B has 4 x 2 x 2 = 16 cubic units. - 9
A rectangular prism is made of 27 unit cubes. It has 3 cubes across, 3 cubes back, and the same number of cubes in each layer. How many layers does it have?
Divide the total number of cubes by the number of cubes in one layer.
It has 3 layers because each layer has 3 x 3 = 9 cubes, and 27 divided by 9 equals 3. - 10
Liam says a prism that is 2 units long, 6 units wide, and 2 units tall has a volume of 10 cubic units. Is he correct? Explain.
Liam is not correct. The volume is 2 x 6 x 2 = 24 cubic units, not 10 cubic units. - 11
A box has 4 layers of cubes. Each layer has 8 cubes. What is the volume of the box?
The number of cubes in every layer is the same.
The volume of the box is 32 cubic units because 8 x 4 = 32. - 12
Find the volume of a rectangular prism with a length of 7 units, a width of 1 unit, and a height of 3 units.
The volume is 21 cubic units because 7 x 1 x 3 = 21. - 13
A prism has 5 cubes in each row and 3 rows in each layer. Its volume is 45 cubic units. How many layers tall is it?
Use the total volume and the number of cubes in one layer.
The prism is 3 layers tall because one layer has 5 x 3 = 15 cubes, and 45 divided by 15 equals 3. - 14
A rectangular prism is built with unit cubes. The front face shows 4 cubes across and 3 cubes tall. The prism is 2 cubes deep. What is the volume?
The volume is 24 cubic units because the front face has 4 x 3 = 12 cubes, and the prism is 2 cubes deep, so 12 x 2 = 24. - 15
Create your own rectangular prism with a volume of 24 cubic units. Write its length, width, and height.
Think of three whole numbers that multiply to make 24.
One possible answer is a prism with length 4 units, width 3 units, and height 2 units because 4 x 3 x 2 = 24 cubic units.