Remember: A unit cube has a volume of one cubic unit. Count the cubes, even the hidden ones, or count one layer and multiply by the number of layers.
Count the unit cubes
1
Each cube is 1 centimeter on every side. The box is full of cubes. What is its volume in cubic centimeters?
2
The box is one layer of cubes. What is its volume in cubic units?
3
Each cube is 1 foot on every side. What unit measures the volume of this box?
square feetfeetcubic feet
4
Count every cube, even the hidden ones at the back. What is the volume in cubic units?
5
Which box holds 18 unit cubes?
ABC
6
A box that is 6 cubes long, 2 cubes wide and 3 cubes tall holds 36 cubes.
TrueFalse
Layers and mistakes
7
The volume of this box is 9 cubic units.
TrueFalse
8
The top layer of this box has 8 cubes. The box has 4 layers. How many cubes are in the box in all?
9
The box is 2 cubes long, 2 cubes wide and 6 cubes tall. What is the volume in cubic units?
10
Join each box to its volume.
13 long, 2 wide, 1 tall
24 long, 3 wide, 1 tall
33 long, 3 wide, 3 tall
45 long, 2 wide, 3 tall
A12 cubic units
B27 cubic units
C6 cubic units
D30 cubic units
11
Put the boxes in order from the smallest volume to the greatest volume.
4 by 3 by 3
3 by 2 by 2
2 by 2 by 1
2 by 3 by 3
12
Sam says this box holds 3 + 2 + 2 = 7 cubes. What mistake did he make?
There is no mistake.He counted one layer too many.He added the sides. One layer has 3 × 2 = 6 cubes, and 2 layers hold 12.
13
Explain how to find the volume of a box 4 long, 3 wide and 2 tall without counting every cube.
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