6th Grade Nets and Surface Area Test Solutions and Scoring (PDF)

6th Grade math test solutions: Nets and Surface Area – Maths PDF

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This nets surface area test answers for 6th Grade covers nets and surface area (Common Core 6.G.A.4), with a free PDF to print.

Use this key to score the surface area test out of 20 points. Each solution is fully worked, and the scoring line explains how to award each point and partial credit.

Grade 6 · Common Core State Standards: 6.G.A.4

Nets surface area test answers: worked solutions

Question 1 – Rectangular prism [2 pts]

$2(12 + 8 + 6) = 52$.

The surface area is $52\text{ cm}^{2}$.

12 + 8 + 6 + 8 + 6 + 12 = 52.

Scoring: 1 point for the face areas; 1 point for 52.

Question 2 – Cube [2 pts]

$6 \cdot 9 \cdot 9 = 486$.

The surface area is $486\text{ cm}^{2}$.

Scoring: 1 point for six faces; 1 point for 486.

Question 3 – Pyramid [2 pts]

Base: 16. Triangles: $4 \cdot \frac{1}{2} \cdot 4 \cdot 6 = 48$.

$16 + 48 = 64$ square meters.

Scoring: 1 point for the base; 1 point for the triangles; 0 if the total is wrong.

Question 4 – Triangular prism [2 pts]

Triangles: $2 \cdot \frac{1}{2} \cdot 3 \cdot 4 = 12$.

Rectangles: $(3 + 4 + 5) \cdot 6 = 72$.

$12 + 72 = 84$ square inches.

Triangles total 12; rectangles total 72.

Scoring: 1 point for the triangles; 1 point for the rectangles and total.

Question 5 – Find the edge [2 pts]

$216 \div 6 = 36$, so $s = 6$.

Scoring: 1 point for dividing by 6; 1 point for 6 feet.

Question 6 – Wrap it [2 pts]

$2(14 \cdot 8 + 14 \cdot 5 + 8 \cdot 5) = 2(112 + 70 + 40) = 444$.

Scoring: 1 point for the three face pairs; 1 point for 444 square inches.

Question 7 – Open box [2 pts]

Bottom: 8. Sides: $2 \cdot 4 \cdot 2 + 2 \cdot 2 \cdot 2 = 16 + 8 = 24$.

$8 + 24 = 32$ square feet.

Scoring: 1 point for omitting the lid; 1 point for 32.

Question 8 – Compare [3 pts]

A: $2(9 + 18 + 18) = 90$.

B: $2(16 + 12 + 12) = 80$.

Box A needs more.

Scoring: 1 point for each surface area; 1 point for the comparison.

Question 9 – Paint cost [3 pts]

$6 \cdot 9 = 54$ square feet.

$\$0.40 \cdot 54 = \$21.60$.

Six faces of 9 square feet.

Scoring: 1 point for the surface area; 1 point for the setup; 1 point for $21.60.

Total score

Total

20 points

Key facts behind this nets surface area test answers

Key facts

A net shows all faces of a solid laid flat.
Surface area is the total area of all faces, in square units.
Rectangular prism: SA = 2(lw + lh + wh).
Pyramid: base area plus the areas of the triangular faces.
Triangular prism: two triangles plus three rectangles.

How to use this nets surface area test answers

Score your test with the point values shown for each question. Then read the worked solution of every question where you lost points and note the method to review.

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