Remember: Small cubes fill a box with fraction edges. Count them, or multiply the edges: it is the same volume.
Pack the box
1
A box is 1 unit long, 1 unit wide and 1 unit high. It is packed with third-unit cubes. How many cubes fill it?
2
This box is packed with half-foot cubes, 3 long, 3 wide and 2 high. How many half-foot cubes fill it?
3
8 half-foot cubes fill 1 cubic foot. What is the volume of that box in cubic feet? Write a fraction.
4
A cube that is 1/2 foot on every edge has a volume of 1/8 cubic foot.
TrueFalse
5
Third-unit cubes fill this box, 5 long, 3 wide and 3 high. 27 third-unit cubes fill 1 cubic unit. What is the volume in cubic units? Write a fraction.
6
Each small cube is one half unit on every side. Which box has a volume of 2 cubic units?
Box 1Box 2Box 3
7
Join each little cube to how many of them fill one cubic unit.
1fifth-unit cubes
2sixth-unit cubes
3eighth-unit cubes
4tenth-unit cubes
A216 cubes
B1,000 cubes
C125 cubes
D512 cubes
Multiply the edges
8
A box is 1/2 meter long, 3/5 meter wide and 4 meters high. Multiply the edges. What is the volume in cubic meters? Write a fraction.
9
To find the volume of a box with fraction edges, multiply its length, its width and its height.
TrueFalse
10
A box is packed with 40 half-inch cubes. 8 half-inch cubes fill 1 cubic inch. What is the volume of the box?
5 cubic inches40 cubic inches8 cubic inches
11
Multiply the edges. Number the boxes from the smallest volume (1) to the largest (4).
1 × 1 × 3/4
2 × 1/2 × 1
1/2 × 1/2 × 2
3/2 × 1/2 × 2
12
This box is packed with quarter-unit cubes, 6 long, 4 wide and 4 high. 64 quarter-unit cubes fill 1 cubic unit. What is the volume in cubic units? Write a fraction.
13
A box is 1 unit on every side. Write how many third-unit cubes fill it, and what fraction of a cubic unit each little cube is.
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