Bluebook SAT Test Area and Volume 7 — Questions and Answers
Question 1: A triangular pyramid has a base area of 30 cm² and height 8 cm. What is its volume?
- 40 cm³
- 80 cm³ (Correct answer)
- 120 cm³
- 240 cm³
Correct answer: 80 cm³
V = ⅓ × base area × height = ⅓ × 30 × 8 = 80 cm³.
Question 2: A rectangle has perimeter 40 cm and width 8 cm. What is its area?
- 48 cm²
- 96 cm² (Correct answer)
- 128 cm²
- 192 cm²
Correct answer: 96 cm²
2(l + 8) = 40 → l = 12 cm; Area = 12 × 8 = 96 cm².
Question 3: A circle has circumference 16π cm. What is its area?
- 8π cm²
- 16π cm²
- 32π cm²
- 64π cm² (Correct answer)
Correct answer: 64π cm²
C = 2πr = 16π → r = 8; Area = π(8²) = 64π cm².
Question 4: Two cubes have side lengths 3 cm and 6 cm. What is the ratio of their volumes?
- 1:2
- 1:4
- 1:6
- 1:8 (Correct answer)
Correct answer: 1:8
Volumes: 27 cm³ and 216 cm³; ratio = 27:216 = 1:8.
Question 5: A cylinder has radius r and height 2r. Which expression gives its volume?
- 2πr²
- 2πr³ (Correct answer)
- 4πr²
- 4πr³
Correct answer: 2πr³
V = πr²(2r) = 2πr³.
Question 6: A garden is shaped like a right triangle with legs 24 m and 10 m. What is the area?
- 60 m²
- 120 m² (Correct answer)
- 130 m²
- 240 m²
Correct answer: 120 m²
Area = ½ × 24 × 10 = 120 m².
Question 7: A sphere has volume (500/3)π cm³. What is the radius?
- 4 cm
- 5 cm (Correct answer)
- 10 cm
- 25 cm
Correct answer: 5 cm
(4/3)πr³ = (500/3)π → 4r³ = 500 → r³ = 125 → r = 5 cm.
Bluebook SAT Test Area and Volume 7
A triangular pyramid has a base area of 30 cm² and height 8 cm.
What is its volume?