Bluebook SAT Test Area and Volume 5 — Questions and Answers
Question 1: A right triangle has legs of 5 cm and 12 cm. What is its area?
- 30 cm² (Correct answer)
- 60 cm²
- 65 cm²
- 78 cm²
Correct answer: 30 cm²
Area = ½ × 5 × 12 = 30 cm².
Question 2: A sphere has a surface area of 36π cm². What is its radius?
- 2 cm
- 3 cm (Correct answer)
- 6 cm
- 9 cm
Correct answer: 3 cm
4πr² = 36π → r² = 9 → r = 3 cm.
Question 3: A storage shed is shaped like a rectangular prism: 4 m wide, 6 m long, 3 m tall. What is its volume?
- 26 m³
- 52 m³
- 72 m³ (Correct answer)
- 144 m³
Correct answer: 72 m³
V = 4 × 6 × 3 = 72 m³.
Question 4: A circle's area is 100Ï€. What is the circumference of the circle?
- 10Ï€
- 20Ï€ (Correct answer)
- 50Ï€
- 100Ï€
Correct answer: 20Ï€
πr² = 100π → r = 10; C = 2πr = 20π.
Question 5: A piece of land is 300 m × 150 m. What is the area in hectares? (1 hectare = 10,000 m²)
- 0.45 ha
- 4.5 ha (Correct answer)
- 45 ha
- 450 ha
Correct answer: 4.5 ha
Area = 300 × 150 = 45,000 m²; 45,000 ÷ 10,000 = 4.5 ha.
Question 6: A cone has volume 48π cm³ and height 9 cm. What is the radius of its base?
- 2 cm
- 4 cm (Correct answer)
- 6 cm
- 8 cm
Correct answer: 4 cm
⅓πr²(9) = 48π → 3πr² = 48π → r² = 16 → r = 4 cm.
Question 7: Two similar rectangles have a side-length ratio of 3:5. What is the ratio of their areas?
- 3:5
- 6:10
- 9:25 (Correct answer)
- 27:125
Correct answer: 9:25
Area ratio = (3/5)² = 9/25.
Bluebook SAT Test Area and Volume 5
A right triangle has legs of 5 cm and 12 cm.
What is its area?