6th grade · Math · Unit 17 of 17
Nets & Surface Area
Unfold a box
What your child practices
Using nets made of rectangles and triangles to find the surface area of prisms and pyramids.
Alabama Course of Study content standard: 6.27 · using nets of three-dimensional figures to find surface area
How we explain it
Children can open this short lesson before they practice.
- A net is a solid unfolded flat.
- Find the area of every face in the net.
- Add them all: that is the surface area.
Example: A box is 2 cm by 3 cm by 4 cm. What is its surface area? Two 2 × 3 faces: 12. Two 2 × 4 faces: 16. Two 3 × 4 faces: 24. 12 + 16 + 24 = 52. Answer: 52 cm²
Nets & Surface Area in Alabama
In the Alabama Course of Study, this is unit 17 of 17 in 6th grade Math, after Unit Rates.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
A box is 7 cm by 4 cm by 6 cm. Use its net to find its surface area.
- 189 cm²
- 122 cm²
- 188 cm²
- 94 cm²
- 168 cm²
188 cm²
Hint: The net has 3 pairs of rectangles: 2 × (7 × 4) + 2 × (7 × 6) + 2 × (4 × 6).
Question 2
A square pyramid has a base 8 ft on each side. Each triangle face has a height of 5 ft. What is its surface area?
- 144 ft²
- 143 ft²
- 208 ft²
- 224 ft²
- 80 ft²
144 ft²
Hint: Base: 8 × 8 = 64. Each triangle: ½ × 8 × 5 = 20. Add the base and 4 triangles.
Question 3
Which shapes make up a net of a triangular pyramid?
- 4 triangles
- 3 triangles and 1 square
- 6 triangles
- 2 triangles and 3 rectangles
4 triangles
Hint: Picture unfolding the solid. Count each face and its shape.
Question 4
A cube has edges 10 in long. What is its surface area?
- 400 in²
- 600 in²
- 1000 in²
- 60 in²
- 597 in²
600 in²
Hint: A cube's net is 6 squares, each 10 × 10 = 100 in².
Question 5
A square pyramid has a base 5 ft on each side. Each triangle face has a height of 4 ft. What is its surface area?
- 105 ft²
- 40 ft²
- 65 ft²
- 90 ft²
- 64 ft²
65 ft²
Hint: Base: 5 × 5 = 25. Each triangle: ½ × 5 × 4 = 10. Add the base and 4 triangles.
Question 6
Which shapes make up a net of a rectangular prism?
- 6 rectangles
- 6 triangles
- 4 rectangles and 2 triangles
- 5 rectangles
6 rectangles
Hint: Picture unfolding the solid. Count each face and its shape.