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Maths · Grade 6 · Set B
Nets and Surfaces
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B
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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. This net of 6 squares folds into which solid?
A
B
C
2
A net has four triangles. Which solid does it fold into?
triangular pyramidsquare pyramidcubetriangular prism
3
A net has 2 triangles and 3 rectangles. How many faces does the solid have? Answer:
4
This net folds into a cube.
TrueFalse
5
Which net folds into a cube?
A
B
C

Faces and surface area

6
The top of this box is 5 long and 2 wide. Each cube is 1 unit. What is the area of the top face, in square units? Answer:
7
How many faces of this box are 4 by 2? Answer:
8
Join each solid to the faces on its net.
  1. 1box
  2. 2triangular prism
  3. 3cube
  4. 4triangular pyramid
  • A4 triangles
  • B2 triangles and 3 rectangles
  • C6 equal squares
  • D6 rectangles
9
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:
10
Zed paints every face of a cube. Each edge is 5 centimeters long. How many square centimeters does he paint? Answer:

Stretch

11
A cube has an edge of 7 cm. Which calculation gives its surface area?
7 × 7 × 74 × 7 × 76 × 76 × 7 × 7
12
Use the net of this box to find its surface area, in square units. Answer:
13
Explain why a net with 5 squares in a row cannot fold into a cube.
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Answer key · Set B
Nets and Surfaces
1B Six equal squares make the six faces of a cube.
2triangular pyramid A triangular pyramid has a triangle for its base and three triangles for its sides: four triangles in all.
35 Each shape in the net is one face: 2 + 3 = 5.
4False Four squares around one corner cannot fold up: they just lie flat. This net has four squares in a block, so it will not fold.
5C C is a cross: a column of four wraps around, and the two squares on the sides are the top and the bottom. In A the fifth square in the row would land on the first. In B four squares form a block that cannot fold.
610 5 × 2 = 10 square units.
74 The top and the bottom are each 4 by 4. The four sides are each 4 by 2.
81-D, 2-B, 3-C, 4-A Count the shapes of the faces of each solid.
962 2 × 10 + 2 × 15 + 2 × 6 = 20 + 30 + 12 = 62 square units.
10150 One face is 5 × 5 = 25. A cube has 6 faces: 6 × 25 = 150.
116 × 7 × 7 One face is 7 × 7 = 49 square cm. There are 6 faces: 6 × 7 × 7 = 294. Multiplying 7 three times gives the volume, which is something else.
1294 Top and bottom: 2 × 20 = 40. Front and back: 2 × 15 = 30. Two ends: 2 × 12 = 24. 40 + 30 + 24 = 94.
13Your own words: a grown-up reads it.
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