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Maths · Grade 6 · Set A
Unfold the Box
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A
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Remember: A net is a solid unfolded flat. Add the areas of its faces to get the surface area.

Which solid?

1
A net is a solid unfolded flat. A net with 6 equal squares folds into which solid?
A
B
C
D
2
A net has one square and four triangles. Which solid does it fold into?
A
B
C
3
How many squares are in a net of this cube? Answer:
4
This strip of 6 squares in a row folds into a cube.
TrueFalse

Faces and surface area

5
The top of this box is 4 long and 3 wide. Each cube is 1 unit. What is the area of the top face, in square units? Answer:
6
The net of this box has 3 pairs of matching faces, listed below. Add the area of all six faces. What is the surface area? Answer:
7
Join each solid to the faces on its net.
  1. 1cube
  2. 2square pyramid
  3. 3triangular prism
  4. 4triangular pyramid
  • A1 square and 4 triangles
  • B2 triangles and 3 rectangles
  • C6 equal squares
  • D4 triangles
8
How many faces of this box are 5 by 3? Answer:
9
Mia makes a model cube from card. Each edge is 4 meters long. How many square meters of card cover every face? Answer:

Stretch

10
A cube has an edge of 3 cm. Which calculation gives its surface area?
6 × 33 × 3 × 36 × 3 × 34 × 3 × 3
11
Use the net of this box to find its surface area, in square units. Answer:
12
Explain why a strip of six squares in a row cannot fold into a cube.
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Answer key · Set A
Unfold the Box
1C Six equal squares make the six faces of a cube.
2A A pyramid with a square base has a square for its base and four triangles for its sides.
36 A cube has 6 faces, and each one is a square.
4False Four squares can wrap around, but the next two would sit on top of them. A cube needs squares on two sides of the strip.
512 4 × 3 = 12 square units.
652 2 × 12 + 2 × 8 + 2 × 6 = 24 + 16 + 12 = 52 square units.
71-C, 2-A, 3-B, 4-D Count the shapes of the faces of each solid.
82 The top and the bottom are each 5 by 3. The other faces are 5 by 2 and 3 by 2.
996 One face is 4 × 4 = 16. A cube has 6 faces: 6 × 16 = 96.
106 × 3 × 3 One face is 3 × 3 = 9 square cm. There are 6 faces: 6 × 3 × 3 = 54.
11108 Top and bottom: 2 × 24 = 48. Front and back: 2 × 18 = 36. Two ends: 2 × 12 = 24. 48 + 36 + 24 = 108.
12Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.