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Maths · Grade 5 · Set B
Cubes in Boxes and Chests
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B
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Goal: 15 min
Score/ 12
Remember: Volume is length times width times height, or the base times the height. Add the parts of a joined solid.

Pack the box

1
Each cube is 1 cubic inch. How many cubes are in the bottom layer?
2
How many cubic inches does the whole box hold?
3
This box is 5 long, 2 wide and 4 high. Which multiplication finds its volume?
5 + 2 + 45 × 25 × 2 × 4
4
Each cube is 1 cubic foot. What is the volume of this box in cubic feet?
5
A box has a bottom layer of 9 cubes and is 3 layers high. Its volume is 12 cubic units.
TrueFalse
6
Which box has a volume of 24 cubic units?
Box 1
Box 2
Box 3

Bigger boxes

7
A toy chest is 4 feet long, 5 feet wide and 2 feet high. What is its volume in cubic feet?
8
Two boxes make one solid. Add the two parts. What is the volume of the solid in cubic units?
9
The bottom layer of this box holds 6 cubes. The box is 4 layers high. How many cubes fill it?
10
Join each multiplication to its volume.
  1. 13 × 4 × 5
  2. 22 × 2 × 9
  3. 36 × 6 × 2
  4. 45 × 5 × 5
  • A36 cubic units
  • B60 cubic units
  • C72 cubic units
  • D125 cubic units
11
Sam multiplies only the length and width of this box: 5 × 3 = 15. What did he forget?
He forgot to multiply by the height: 5 × 3 × 2 = 30.Nothing. The volume is 15.He should add 5 + 3 + 2.
12
The second box is twice as tall as the first box, so it holds twice as many cubes.
TrueFalse
13
Does a 3 by 3 by 2 box hold more than a 6 by 2 by 2 box? Write how you know.
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Answer key · Set B
Cubes in Boxes and Chests
116 The bottom layer is 4 cubes long and 4 wide: 4 × 4 = 16.
232 2 layers of 16 cubes make 32.
35 × 2 × 4 Volume is length times width times height. Adding the edges counts no cubes.
436 3 × 3 = 9 cubes in a layer, and 4 layers: 9 × 4 = 36.
5False 9 cubes in each of 3 layers is 9 × 3 = 27. Twelve is 9 + 3, which counts no cubes.
6Box 2 Box 2 is 2 × 3 × 4 = 24. Box 1 is 18 and Box 3 is 27.
740 4 × 5 × 2 = 40.
834 The first part is 4 × 2 × 2 = 16 and the second is 3 × 2 × 3 = 18. 16 + 18 = 34.
924 6 cubes in a layer times 4 layers is 24.
101-B, 2-A, 3-C, 4-D Multiply the first two edges, then multiply by the third.
11He forgot to multiply by the height: 5 × 3 × 2 = 30. 5 × 3 = 15 is just the bottom layer. The box has 2 layers, so the volume is 30.
12True The first holds 2 × 2 × 2 = 8 cubes. The second has twice as many layers: 2 × 2 × 4 = 16, which is double.
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.