Volume of Rectangular Prisms: Grade 5 Math Test Answer Key – PDF Download

Grade 5 Volume Test Answer Key: questions 1–5

Question 1: Cubes in a prism (2 points)

1. \(4 \times 2 = 8\). 8 cubes
2. \(8 \times 3 = 24\). 24 cubic units

Scoring: 1 point for each correct part; units are needed in part (b).

Question 2: Using the formula (2 points)

1. \(9 \times 4 \times 5 = 180\). \(180\text{ cm}^{3}\)
2. \(7 \times 7 \times 7 = 343\). \(343\text{ ft}^{3}\)

Scoring: 1 point for each correct volume with cubic units.

Question 3: Missing dimensions (2 points)

1. \(7 \times 4 \times h = 168\), \(28 \times h = 168\), \(h = 6\). \(6\text{ m}\)
2. \(45 \times h = 270\), \(h = 270 : 45 = 6\). \(6\text{ in}\)

Scoring: 1 point for each correct height with unit.

Question 4: Composite solid (3 points)

1. \(6 \times 3 \times 2 = 36\). \(36\text{ ft}^{3}\)
2. \(2 \times 3 \times 2 = 12\). \(12\text{ ft}^{3}\)
3. \(36 + 12 = 48\). \(48\text{ ft}^{3}\)

Scoring: 1 point for each correct volume with cubic units.

Question 5: Aquarium (3 points)

1. \(30 \times 20 \times 15 = 600 \times 15 = 9{,}000\). \(9{,}000\text{ cm}^{3}\)
2. \(30 \times 20 \times 12 = 7{,}200\). \(7{,}200\text{ cm}^{3}\)
3. \(9{,}000 – 7{,}200 = 1{,}800\). \(1{,}800\text{ cm}^{3}\)

Scoring: 1 point for each correct volume with cubic units. Allow credit in part (c) if the subtraction matches parts (a) and (b).

Grade 5 Volume Test Answer Key: questions 6–9

Question 6: Packing cubes (2 points)

1. \(16 \times 10 \times 8 = 1{,}280\). \(1{,}280\text{ in}^{3}\)
2. One cube is \(2 \times 2 \times 2 = 8\) cubic inches. \(1{,}280 : 8 = 160\). 160 cubes

Scoring: 1 point for part (a). 1 point for part (b); accept the method of 8, 5, and 4 cubes along the edges.

Question 7: Comparing boxes (2 points)

A: \(12 \times 5 \times 4 = 240\). B: \(10 \times 6 \times 5 = 300\). \(300 – 240 = 60\).

Box B holds \(60\text{ in}^{3}\) more.

Scoring: 1 point for both volumes. 1 point for the correct box and the difference.

Question 8: Sandbox sand (2 points)

1. \(V = 24 \times 2 = 48\). \(48\text{ ft}^{3}\)
2. \(48 : 3 = 16\). 16 bags

Scoring: 1 point for each correct part.

Question 9: Layers and dimensions (2 points)

1. \(72 : 12 = 6\). 6 layers
2. Any three whole numbers with product 24 other than 4, 3, 2, for example \(6 \times 4 \times 1 = 24\) or \(2 \times 2 \times 6 = 24\). Sample: 6 by 4 by 1

Scoring: 1 point for part (a). 1 point for part (b) if the product of the three numbers is 24 and the set is not 4, 3, 2.

Scoring summary

How to use this grade 5 volume test answer key

Use this grade 5 volume test answer key to score the test fairly and to see which skills need more practice.

Printable PDF · Test Answer Key

Grade 5 Volume of Rectangular Prisms test answer key

• 📄 US Letter
• 💾 100 KB
• 🖨️ Black and white friendly

Download the PDF

See every chapter on the Grade 5 math page.

📘 The Mathovore bookGrade 5 Math Tests with Answer KeysA 45-minute test for every chapter

• 14 chapters in one PDF
• Tests scored out of 20 points
• Answer keys with scoring guides
• Perfect to prepare for exams

See the book →