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.
Minnesota K-12 Academic Standards benchmark: 6.2.3.1 · the surface area of prisms
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 Minnesota
In the Minnesota K-12 Academic Standards, 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 cube has edges 9 in long. What is its surface area?
- 483 in²
- 324 in²
- 486 in²
- 729 in²
- 54 in²
486 in²
Hint: A cube's net is 6 squares, each 9 × 9 = 81 in².
Question 2
A box is 5 cm by 4 cm by 2 cm. Use its net to find its surface area.
- 58 cm²
- 40 cm²
- 76 cm²
- 38 cm²
- 74 cm²
76 cm²
Hint: The net has 3 pairs of rectangles: 2 × (5 × 4) + 2 × (5 × 2) + 2 × (4 × 2).
Question 3
Which shapes make up a net of a rectangular prism?
- 6 triangles
- 5 rectangles
- 6 rectangles
- 4 rectangles and 2 triangles
6 rectangles
Hint: Picture unfolding the solid. Count each face and its shape.
Question 4
A square pyramid has a base 2 ft on each side. Each triangle face has a height of 4 ft. What is its surface area?
- 20 ft²
- 16 ft²
- 24 ft²
- 21 ft²
- 36 ft²
20 ft²
Hint: Base: 2 × 2 = 4. Each triangle: ½ × 2 × 4 = 4. Add the base and 4 triangles.
Question 5
A cube has edges 4 in long. What is its surface area?
- 97 in²
- 99 in²
- 24 in²
- 64 in²
- 96 in²
96 in²
Hint: A cube's net is 6 squares, each 4 × 4 = 16 in².
Question 6
Which shapes make up a net of a triangular pyramid?
- 2 triangles and 3 rectangles
- 6 triangles
- 4 triangles
- 3 triangles and 1 square
4 triangles
Hint: Picture unfolding the solid. Count each face and its shape.