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Maths · Grade 5 · Set C
Bigger Boxes and Joined Solids
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C
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Goal: 15 min
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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
Circle every expression that finds the volume of this box.
6 × 4 × 324 × 36 + 4 + 36 × 3 × 4
2
A crate is 9 feet long, 4 feet wide and 5 feet high. What is its volume in cubic feet?
3
A box has a volume of 60 cubic units. Its bottom layer holds 12 cubes. How many layers high is it?
4
Which box has the greatest volume?
Box 1
Box 2
Box 3
5
Two boxes make one solid. Add the two parts. What is the volume of the solid in cubic units?
6
How many more cubes does the tall box hold than the short box? more cubes

Think about volume

7
A box 10 long, 10 wide and 10 high holds 1,000 cubic units.
TrueFalse
8
A 4 by 6 by 5 box holds more than a 5 by 5 by 5 box.
TrueFalse
9
Join each multiplication to its volume.
  1. 14 × 5 × 10
  2. 212 × 3 × 2
  3. 36 × 6 × 6
  4. 420 × 5 × 3
  • A72 cubic units
  • B300 cubic units
  • C216 cubic units
  • D200 cubic units
10
Number the boxes from the smallest volume (1) to the largest (4).
  • 5 by 2 by 4
  • 3 by 3 by 3
  • 4 by 4 by 2
  • 2 by 3 by 4
11
A fish tank is 10 inches long, 5 inches wide and 8 inches high. How many cubic inches of water fill it?
12
A 2 by 2 by 6 box and a 4 by 3 by 2 box hold the same number of cubes.
TrueFalse
13
Write the edges of two different boxes that each hold 36 cubes. Show how you know.
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Answer key · Set C
Bigger Boxes and Joined Solids
16 × 4 × 3, 24 × 3, 6 × 3 × 4 6 × 4 = 24 is one layer, and 24 × 3 is the whole box. You can multiply the edges in any order. Adding the edges counts no cubes.
2180 9 × 4 = 36 cubes in a layer, and 5 layers: 36 × 5 = 180.
35 12 cubes in each layer, and 12 × 5 = 60. So it is 5 layers high.
4Box 3 Box 1 is 6 × 2 × 5 = 60. Box 2 is 3 × 5 × 4 = 60. Box 3 is 4 × 4 × 4 = 64, the most.
5108 The first part is 6 × 4 × 3 = 72 and the second is 3 × 4 × 3 = 36. 72 + 36 = 108.
624 The tall box holds 4 × 2 × 6 = 48 and the short box holds 4 × 2 × 3 = 24. 48 − 24 = 24.
7True 10 × 10 = 100 in a layer, and 10 layers: 100 × 10 = 1,000.
8False 4 × 6 × 5 = 120 and 5 × 5 × 5 = 125. The 5 by 5 by 5 box holds more.
91-D, 2-A, 3-C, 4-B Multiply two edges, then multiply by the third.
104, 2, 3, 1 2 × 3 × 4 = 24, 3 × 3 × 3 = 27, 4 × 4 × 2 = 32 and 5 × 2 × 4 = 40.
11400 10 × 5 = 50 in a layer, and 8 layers: 50 × 8 = 400.
12True 2 × 2 × 6 = 24 and 4 × 3 × 2 = 24. They have the same volume.
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.