Bluebook SAT Test Area and Volume 2 — Questions and Answers
Question 1: A cone has radius 3 cm and height 8 cm. What is its volume in terms of π?
- 8π cm³
- 12π cm³
- 24π cm³ (Correct answer)
- 72π cm³
Correct answer: 24π cm³
V = ⅓πr²h = ⅓ × π × 9 × 8 = 24π cm³.
Question 2: A sphere has radius 3. What is its volume in terms of π?
- 12π
- 36π (Correct answer)
- 108π
- 144π
Correct answer: 36π
V = (4/3)πr³ = (4/3)π(27) = 36π.
Question 3: A triangle has base 15 ft and area 60 ft². What is the height?
- 4 ft
- 8 ft (Correct answer)
- 12 ft
- 16 ft
Correct answer: 8 ft
A = ½bh → 60 = ½ × 15 × h → h = 120/15 = 8 ft.
Question 4: A rectangular room is 12 ft long and 10 ft wide. What area of carpet covers the floor?
- 22 ft²
- 44 ft²
- 120 ft² (Correct answer)
- 240 ft²
Correct answer: 120 ft²
Area = 12 × 10 = 120 ft².
Question 5: A circle has area 49π. What is its radius?
- 7 (Correct answer)
- 14
- 49
- 98
Correct answer: 7
πr² = 49π → r² = 49 → r = 7.
Question 6: A cube has side length 4 cm. What is its surface area?
- 16 cm²
- 64 cm²
- 96 cm² (Correct answer)
- 256 cm²
Correct answer: 96 cm²
Surface area = 6s² = 6 × 16 = 96 cm².
Question 7: A cylinder has volume 200π cm³ and radius 5 cm. What is its height?
- 4 cm
- 8 cm (Correct answer)
- 10 cm
- 40 cm
Correct answer: 8 cm
V = πr²h → 200π = π × 25 × h → h = 200/25 = 8 cm.
Bluebook SAT Test Area and Volume 2
A cone has radius 3 cm and height 8 cm.
What is its volume in terms of π?