Bluebook SAT Test Area and Volume 4 — Questions and Answers
Question 1: A cone and a cylinder share the same radius and height. What is the ratio of the cone's volume to the cylinder's volume?
- 1:1
- 1:2
- 1:3 (Correct answer)
- 2:3
Correct answer: 1:3
Vcone = ⅓πr²h and Vcylinder = πr²h, so the ratio is ⅓:1 = 1:3.
Question 2: A parallelogram has base 11 m and height 6 m. What is its area?
- 33 m²
- 66 m² (Correct answer)
- 110 m²
- 132 m²
Correct answer: 66 m²
Area = base × height = 11 × 6 = 66 m².
Question 3: A rectangular pool is 25 m × 10 m × 2 m deep. How many liters of water does it hold? (1 m³ = 1,000 L)
- 5,000 L
- 50,000 L
- 500,000 L (Correct answer)
- 5,000,000 L
Correct answer: 500,000 L
Volume = 25 × 10 × 2 = 500 m³; 500 × 1,000 = 500,000 L.
Question 4: A circular garden has radius 7 m. What is the area? (Use π ≈ 22/7)
- 22 m²
- 44 m²
- 154 m² (Correct answer)
- 616 m²
Correct answer: 154 m²
A = πr² = (22/7) × 49 = 22 × 7 = 154 m².
Question 5: The surface area of a cube is 150 cm². What is the side length?
- 4 cm
- 5 cm (Correct answer)
- 6 cm
- 25 cm
Correct answer: 5 cm
6s² = 150 → s² = 25 → s = 5 cm.
Question 6: A 10 cm × 6 cm rectangle has a right triangle with legs 6 cm and 4 cm removed from one corner. What is the remaining area?
- 36 cm²
- 48 cm² (Correct answer)
- 52 cm²
- 60 cm²
Correct answer: 48 cm²
Rectangle = 60 cm²; triangle = ½ × 6 × 4 = 12 cm²; remaining = 60 − 12 = 48 cm².
Question 7: A cylinder's radius is doubled while its height stays the same. By what factor does its volume increase?
- 2
- 4 (Correct answer)
- 6
- 8
Correct answer: 4
V = πr²h; doubling r → π(2r)²h = 4πr²h; volume increases by a factor of 4.
Bluebook SAT Test Area and Volume 4
A cone and a cylinder share the same radius and height.
What is the ratio of the cone's volume to the cylinder's volume?