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Maths · Grade 6 · Set C
Nets, Faces and Pyramids
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C
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Remember: A net is a solid unfolded flat. Add the areas of its faces to get the surface area.

Nets that fold

1
Which net folds into a cube?
A
B
C
2
Which net does NOT fold into a cube?
A
B
C
3
This net folds into a cube.
TrueFalse
4
Join each solid to how many faces it has.
  1. 1cube
  2. 2triangular pyramid
  3. 3triangular prism
  • A6 faces
  • B5 faces
  • C4 faces

Faces and surface area

5
How many faces of this box are 6 by 4? Answer:
6
Use the net of this box to find its surface area, in square units. Answer:
7
This square pyramid has a square base, 4 by 4, and four triangles. Each triangle has base 4 and height 5. What is the area of one triangle? Answer:
8
Use the table to find the surface area of this square pyramid, in square units. Answer:
9
A gift box is a cube with an edge of 9 centimeters. How many square centimeters of paper cover all its faces, with no overlap? Answer:

Stretch

10
A cube has a surface area of 54 square centimeters. How long is one edge, in centimeters? Answer:
11
Cutting a box open and laying it flat changes its surface area.
TrueFalse
12
Draw a net of 6 squares that will NOT fold into a cube.
13
Write how you know your net will not fold into a cube.
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Answer key · Set C
Nets, Faces and Pyramids
1A In A the row of four wraps around, with one square on each side for the top and the bottom. In B both extra squares are on the same side, so they land on each other.
2C A and B each fold up into a cube. C does not: two of its squares would land on the same face.
3True This net has no four squares in a block, and no square would land on another when folded. It makes a cube.
41-A, 2-C, 3-B A cube has 6 squares. A triangular pyramid has 4 triangles. A triangular prism has 2 triangles and 3 rectangles.
54 The top and the bottom are each 6 by 4. The front and the back are each 6 by 4 too. The two ends are 4 by 4.
682 Top and bottom: 2 × 21 = 42. Front and back: 2 × 14 = 28. Two ends: 2 × 6 = 12. 42 + 28 + 12 = 82.
710 The area of a triangle is half of base times height: 1/2 × 4 × 5 = 10 square units.
884 1 × 36 + 4 × 12 = 36 + 48 = 84 square units.
9486 One face is 9 × 9 = 81. A cube has 6 faces: 6 × 81 = 486.
103 54 ÷ 6 = 9 square cm for one face. 3 × 3 = 9, so the edge is 3 cm.
11False The faces are the same, only laid out flat. The surface area stays the same.
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.