Surface Area of 3D Shapes Quiz

Grade 6 · Math · Quiz

Test your ability to calculate surface area of 3D shapes.

Questions

What is the surface area of a cube with side length 4 cm?
1. 96 cm²
2. 64 cm²
3. 24 cm²
4. 16 cm²
Show answer
Answer: 96 cm²
SA = 6s² = 6×4² = 6×16 = 96 cm².
A rectangular prism has exactly 6 faces.
Show answer
Answer: True
A rectangular prism has 6 rectangular faces in 3 congruent pairs.
A box has length 10 in, width 4 in, height 3 in. What is its surface area?
1. 164 in²
2. 120 in²
3. 82 in²
4. 240 in²
Show answer
Answer: 164 in²
SA = 2(10×4) + 2(10×3) + 2(4×3) = 80 + 60 + 24 = 164 in².
Surface area is measured in ___ units.
Show answer
Answer: square
Area (including surface area) is always measured in square units since it covers a 2D surface.
Which formula gives the surface area of a rectangular prism?
1. 2lw + 2lh + 2wh
2. l × w × h
3. 2(l + w + h)
4. lw + lh + wh
Show answer
Answer: 2lw + 2lh + 2wh
This formula adds the areas of all 6 faces in three congruent pairs.
A net is a 3D model of a shape.
Show answer
Answer: False
A net is a 2D (flat) shape that folds up to form a 3D shape.
A rectangular prism has l=7, w=2, h=5. What is 2lw?
1. 28
2. 70
3. 14
4. 24
Show answer
Answer: 28
2lw = 2×7×2 = 28. This is the combined area of the top and bottom faces.
A cube with side length 3 cm has a surface area of ___ cm².
Show answer
Answer: 54
SA = 6s² = 6×3² = 6×9 = 54 cm².
Which is NOT a face of a rectangular prism?
1. Triangle
2. Rectangle
3. Square
4. All of the above can be faces
Show answer
Answer: Triangle
Rectangular prisms only have rectangular faces (including squares). Triangles appear on triangular prisms and pyramids.
You want to wrap a gift box that is 8×5×3 inches. How much wrapping paper do you need (minimum)?
1. 158 in²
2. 120 in²
3. 79 in²
4. 240 in²
Show answer
Answer: 158 in²
SA = 2(8×5) + 2(8×3) + 2(5×3) = 80 + 48 + 30 = 158 in².

Get a personalized course on Surface Area of 3D Shapes built around your child.