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Surface Area and Volume of Prisms Test Answer Key with Scoring – Grade 7

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Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Grade 7 Math Test Answer Keys – Mathbot, the Math Made Easy robot coach, with free printable test answer keys for Grade 7
Looking for a surface area and volume of prisms test answer key? Then this answer key gives the solutions and the scoring guide of the Grade 7 test on Prisms: Surface Area, Volume and Composite Figures. The answer key gives complete solutions and a scoring guide. Give credit for any valid decomposition of a composite figure, and deduct a point when square and cubic units are confused or when the base area of a triangle omits the one half.

Standards: 7.G.B.6 · Level: Grade 7

Question 1 Area with a notch (2 points)

Whole rectangle: 16 × 11 = 176 m². Notch: 7 × 5 = 35 m². 176 − 35 = 141.

141 m²

Scoring: 1 point for a valid decomposition or subtraction, 1 point for the area with units.

9 m5 m7 m6 m11 m16 m
Another way: 9 × 5 + 16 × 6 = 45 + 96 = 141.

Question 2 Trapezoid on a rectangle (3 points)

  1. A = ½(9 + 15) × 6 = 12 × 6 = 72 cm²
  2. 15 × 4 = 60 cm²
  3. 72 + 60 = 132 cm²

Scoring: 1 point for each part.

Question 3 Box measurements (2 points)

  1. V = 14 × 6 × 5.5 = 84 × 5.5 = 462 in³
  2. SA = 2(14 × 6 + 14 × 5.5 + 6 × 5.5) = 2(84 + 77 + 33) = 2(194) = 388 in²

Scoring: 1 point for each part.

Question 4 Right triangular prism (3 points)

  1. B = ½ × 24 × 7 = 84 cm²
  2. V = 84 × 12 = 1,008 cm³
  3. P = 24 + 7 + 25 = 56. SA = 2(84) + 56 × 12 = 168 + 672 = 840 cm²

Scoring: 1 point for each part.

Question 5 L-shaped prism (3 points)

  1. 10 × 8 − 4 × 3 = 80 − 12 = 68 cm²
  2. V = 68 × 5 = 340 cm³

Scoring: part a, 1 point for the decomposition and 1 for the area; part b, 1 point.

Question 6 Find a missing length (2 points)

B = ½ × 9 × 6 = 27 cm². V = Bh, so 270 = 27h and h = 10.

10 cm

Scoring: 1 point for the base area, 1 point for the length.

Question 7 Open fish tank (3 points)

  1. Bottom: 30 × 12 = 360. Long sides: 2 × (30 × 16) = 960. Short sides: 2 × (12 × 16) = 384. Total: 360 + 960 + 384 = 1,704 in²
  2. V = 30 × 12 × 12 = 4,320 in³

Scoring: part a, 1 point for the faces and 1 for the sum; part b, 1 point.

Question 8 Stacked blocks (2 points)

Bottom: 10 × 6 × 2 = 120 cm³. Top: 4 × 6 × 3 = 72 cm³. Total: 192.

192 cm³

Scoring: 1 point for the two volumes, 1 point for the sum.

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