Printable worksheet

← Back to the Pool Volume Calculator

In the print window, choose “Save as PDF” as the printer (or print it on paper). Seed 1 rebuilds this exact sheet.

Pool Volume worksheet

Grades 7–8 · CCSS 7.G.B.6, 8.G.C.9

Solve each problem and show your work. Round answers to 2 decimal places where needed.

1.
Problem 1.
- Measurements in: Meters
- Pool shape: Rectangle
- Depth: Shallow end to deep end
- Length: 13 m
- Width: 6 m
- Shallow-end water depth: 1 m
- Deep-end water depth: 1.8 m
Find: Pool volume
Answer
2.
Problem 2.
- Measurements in: Meters
- Pool shape: Round
- Depth: Same depth throughout
- Diameter: 6 m
- Water depth: 1.2 m
Find: Pool volume
Answer
3.
Problem 3.
- Measurements in: Meters
- Pool shape: Rectangle
- Depth: Shallow end to deep end
- Length: 13 m
- Width: 5 m
- Shallow-end water depth: 1 m
- Deep-end water depth: 1.6 m
Find: Pool volume
Answer
4.
Problem 4.
- Measurements in: Meters
- Pool shape: Rectangle
- Depth: Shallow end to deep end
- Length: 10 m
- Width: 7 m
- Shallow-end water depth: 2 m
- Deep-end water depth: 3 m
Find: Pool volume
Answer
5.
Problem 5.
- Measurements in: Meters
- Pool shape: Oval
- Depth: Same depth throughout
- Length: 11 m
- Width: 4 m
- Water depth: 1.3 m
Find: Pool volume
Answer
6.
Problem 6.
- Measurements in: Feet
- Pool shape: Kidney (approx.)
- Depth: Shallow end to deep end
- Length: 24 ft
- Width at the narrow end: 9 ft
- Width at the wide end: 10 ft
- Shallow-end water depth: 3.7 ft
- Deep-end water depth: 7 ft
Find: Pool volume
Answer
7.
Problem 7.
- Measurements in: Feet
- Pool shape: Kidney (approx.)
- Depth: Shallow end to deep end
- Length: 27 ft
- Width at the narrow end: 12 ft
- Width at the wide end: 14 ft
- Shallow-end water depth: 3 ft
- Deep-end water depth: 7 ft
Find: Pool volume
Answer
8.
Problem 8.
- Measurements in: Feet
- Pool shape: Kidney (approx.)
- Depth: Shallow end to deep end
- Length: 32 ft
- Width at the narrow end: 8 ft
- Width at the wide end: 15 ft
- Shallow-end water depth: 3.2 ft
- Deep-end water depth: 7 ft
Find: Pool volume
Answer
9.
Problem 9.
- Measurements in: Meters
- Pool shape: Round
- Depth: Shallow end to deep end
- Diameter: 6 m
- Shallow-end water depth: 1 m
- Deep-end water depth: 2 m
Find: Pool volume
Answer
10.
Problem 10.
- Measurements in: Meters
- Pool shape: Oval
- Depth: Same depth throughout
- Length: 8 m
- Width: 6 m
- Water depth: 1.1 m
Find: Pool volume
Answer

Answer key: Pool Volume worksheet

1. Pool volume: 109,200 L
1. Find the area of the water surface: length times width
  $13 \times 6$ $= 78 m²$
2. Average the shallow and deep ends, since the floor slopes evenly between them
  $\frac{1 + 1.8}{2}$ $= 1.4 m$
3. Multiply the surface area by the average depth to get the volume of water
  $78 \times 1.4$ $= 109.2 m³$
4. Convert to liters (1 m³ = 1,000 L)
  $109.2 \times 1,000$ $= 109,200 L$
5. Convert to US gallons (1 US gal = 3.785411784 L)
  $\frac{109,200}{3.785411784}$ $= 28,847.588118 US gal$
2. Pool volume: 33,929 L
1. Find the area of the round water surface: π (about 3.1416) times half the diameter, squared
  $π \times {(\frac{6}{2})}^{2}$ $= 28.274334 m²$
2. Multiply the surface area by the average depth to get the volume of water
  $28.274334 \times 1.2$ $= 33.929201 m³$
3. Convert to liters (1 m³ = 1,000 L)
  $33.929201 \times 1,000$ $= 33,929.200659 L$
4. Convert to US gallons (1 US gal = 3.785411784 L)
  $\frac{33,929.200659}{3.785411784}$ $= 8,963.146573 US gal$
3. Pool volume: 84,500 L
1. Find the area of the water surface: length times width
  $13 \times 5$ $= 65 m²$
2. Average the shallow and deep ends, since the floor slopes evenly between them
  $\frac{1 + 1.6}{2}$ $= 1.3 m$
3. Multiply the surface area by the average depth to get the volume of water
  $65 \times 1.3$ $= 84.5 m³$
4. Convert to liters (1 m³ = 1,000 L)
  $84.5 \times 1,000$ $= 84,500 L$
5. Convert to US gallons (1 US gal = 3.785411784 L)
  $\frac{84,500}{3.785411784}$ $= 22,322.538424 US gal$
4. Pool volume: 175,000 L
1. Find the area of the water surface: length times width
  $10 \times 7$ $= 70 m²$
2. Average the shallow and deep ends, since the floor slopes evenly between them
  $\frac{2 + 3}{2}$ $= 2.5 m$
3. Multiply the surface area by the average depth to get the volume of water
  $70 \times 2.5$ $= 175 m³$
4. Convert to liters (1 m³ = 1,000 L)
  $175 \times 1,000$ $= 175,000 L$
5. Convert to US gallons (1 US gal = 3.785411784 L)
  $\frac{175,000}{3.785411784}$ $= 46,230.109163 US gal$
5. Pool volume: 44,925 L
1. Find the area of the oval water surface: π (about 3.1416) times half the length times half the width
  $π \times \frac{11}{2} \times \frac{4}{2}$ $= 34.557519 m²$
2. Multiply the surface area by the average depth to get the volume of water
  $34.557519 \times 1.3$ $= 44.924775 m³$
3. Convert to liters (1 m³ = 1,000 L)
  $44.924775 \times 1,000$ $= 44,924.774946 L$
4. Convert to US gallons (1 US gal = 3.785411784 L)
  $\frac{44,924.774946}{3.785411784}$ $= 11,867.869999 US gal$
6. Pool volume: 8,212 US gal
1. Estimate the kidney-shaped surface area with the builders' rule: 0.45 × (narrow width + wide width) × length
  $0.45 \times 9 + 10 \times 24$ $= 205.2 ft²$
2. Average the shallow and deep ends, since the floor slopes evenly between them
  $\frac{3.7 + 7}{2}$ $= 5.35 ft$
3. Multiply the surface area by the average depth to get the volume of water
  $205.2 \times 5.35$ $= 1,097.82 ft³$
4. Convert to liters (1 ft³ = 28.316846592 L)
  $1,097.82 \times 28.316846592$ $= 31,086.800526 L$
5. Convert to US gallons (1 US gal = 3.785411784 L)
  $\frac{31,086.800526}{3.785411784}$ $= 8,212.263896 US gal$
7. Pool volume: 11,815 US gal
1. Estimate the kidney-shaped surface area with the builders' rule: 0.45 × (narrow width + wide width) × length
  $0.45 \times 12 + 14 \times 27$ $= 315.9 ft²$
2. Average the shallow and deep ends, since the floor slopes evenly between them
  $\frac{3 + 7}{2}$ $= 5 ft$
3. Multiply the surface area by the average depth to get the volume of water
  $315.9 \times 5$ $= 1,579.5 ft³$
4. Convert to liters (1 ft³ = 28.316846592 L)
  $1,579.5 \times 28.316846592$ $= 44,726.459192 L$
5. Convert to US gallons (1 US gal = 3.785411784 L)
  $\frac{44,726.459192}{3.785411784}$ $= 11,815.480519 US gal$
8. Pool volume: 12,635 US gal
1. Estimate the kidney-shaped surface area with the builders' rule: 0.45 × (narrow width + wide width) × length
  $0.45 \times 8 + 15 \times 32$ $= 331.2 ft²$
2. Average the shallow and deep ends, since the floor slopes evenly between them
  $\frac{3.2 + 7}{2}$ $= 5.1 ft$
3. Multiply the surface area by the average depth to get the volume of water
  $331.2 \times 5.1$ $= 1,689.12 ft³$
4. Convert to liters (1 ft³ = 28.316846592 L)
  $1,689.12 \times 28.316846592$ $= 47,830.551915 L$
5. Convert to US gallons (1 US gal = 3.785411784 L)
  $\frac{47,830.551915}{3.785411784}$ $= 12,635.495065 US gal$
9. Pool volume: 42,412 L
1. Find the area of the round water surface: π (about 3.1416) times half the diameter, squared
  $π \times {(\frac{6}{2})}^{2}$ $= 28.274334 m²$
2. Average the shallow and deep ends, since the floor slopes evenly between them
  $\frac{1 + 2}{2}$ $= 1.5 m$
3. Multiply the surface area by the average depth to get the volume of water
  $28.274334 \times 1.5$ $= 42.411501 m³$
4. Convert to liters (1 m³ = 1,000 L)
  $42.411501 \times 1,000$ $= 42,411.500823 L$
5. Convert to US gallons (1 US gal = 3.785411784 L)
  $\frac{42,411.500823}{3.785411784}$ $= 11,203.933216 US gal$
10. Pool volume: 41,469 L
1. Find the area of the oval water surface: π (about 3.1416) times half the length times half the width
  $π \times \frac{8}{2} \times \frac{6}{2}$ $= 37.699112 m²$
2. Multiply the surface area by the average depth to get the volume of water
  $37.699112 \times 1.1$ $= 41.469023 m³$
3. Convert to liters (1 m³ = 1,000 L)
  $41.469023 \times 1,000$ $= 41,469.023027 L$
4. Convert to US gallons (1 US gal = 3.785411784 L)
  $\frac{41,469.023027}{3.785411784}$ $= 10,954.956922 US gal$