Remember: Small cubes fill a box with fraction edges. Count them, or multiply the edges (or base × height): it is the same volume.
Pack the box
1
This box is packed with half-inch cubes, 6 long, 4 wide and 5 high. How many half-inch cubes fill it?
2
8 half-inch cubes fill 1 cubic inch. What is the volume of that box in cubic inches?
120 cubic inches60 cubic inches15 cubic inches
3
A crate is 1 1/2 feet long, 1 foot wide and 2 feet high. The picture shows it packed with half-foot cubes. What is its volume in cubic feet?
4
Each small cube is one third unit on every side. Which box has the greatest volume?
Box 1Box 2Box 3
5
A box is 2 1/2 meters long, 2 meters wide and 1/5 meter high. What is its volume in cubic meters?
6
The base of a box has an area of 3/4 square foot. The box is 8 feet high. What is its volume?
6 cubic feet8 3/4 cubic feet3/32 cubic foot
Think about volume
7
The base of a box has an area of 5/6 square meter. The box is 3/5 meter high. What is its volume in cubic meters? Write a fraction.
8
A cube with every edge 1/4 unit has a volume of 1/12 cubic unit.
TrueFalse
9
Why do 8 half-unit cubes fill one cubic unit, and not 4?
Because 2 × 2 = 4, and the height does not count.Because half of 16 is 8.Because 2 × 2 × 2 = 8: 2 across, 2 deep and 2 high.
10
Join each box to its volume.
11/2 × 1/2 × 1/2
21/2 × 1/2 × 2
31/3 × 3 × 2
43/4 × 1/2 × 2
A1/2
B2
C1/8
D3/4
11
Two boxes make one solid. Both are packed with half-unit cubes, and 8 half-unit cubes fill 1 cubic unit. What is the volume of the solid in cubic units? Write a fraction.
12
Packing a box with small cubes gives a different volume than multiplying its edges.
TrueFalse
13
A box is 1 1/2 feet long, 1 foot wide and 1 foot high. Write how you can use half-foot cubes to find its volume.
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