Bluebook SAT Test Area and Volume 1 — Questions and Answers
Question 1: A rectangle has a length of 14 cm and a width of 9 cm. What is the area of the rectangle?
- 126 cm² (Correct answer)
- 46 cm²
- 92 cm²
- 63 cm²
Correct answer: 126 cm²
Area = length × width = 14 × 9 = 126 cm².
Question 2: A triangle has a base of 20 inches and a height of 13 inches. What is its area?
- 260 in²
- 130 in² (Correct answer)
- 65 in²
- 33 in²
Correct answer: 130 in²
Area = ½ × base × height = ½ × 20 × 13 = 130 in².
Question 3: A circle has a radius of 6. What is its area? (Use π ≈ 3.14)
- 18.84
- 37.68
- 113.04 (Correct answer)
- 226.08
Correct answer: 113.04
Area = πr² = 3.14 × 36 = 113.04.
Question 4: A rectangular prism has length 5 m, width 4 m, and height 3 m. What is its volume?
- 47 m³
- 60 m³ (Correct answer)
- 94 m³
- 120 m³
Correct answer: 60 m³
Volume = l × w × h = 5 × 4 × 3 = 60 m³.
Question 5: A cylinder has radius 4 cm and height 10 cm. What is its volume in terms of π?
- 40π cm³
- 80π cm³
- 160π cm³ (Correct answer)
- 640π cm³
Correct answer: 160π cm³
V = πr²h = π × 16 × 10 = 160π cm³.
Question 6: A square with side length s has its side length doubled. By what factor does the area increase?
- 2
- 4 (Correct answer)
- 6
- 8
Correct answer: 4
New area = (2s)² = 4s²; the area increases by a factor of 4.
Question 7: A composite figure consists of a rectangle 8 m × 5 m with a semicircle of diameter 8 m attached to one end. What is the total area? (Use π ≈ 3.14)
- 65.12 m² (Correct answer)
- 70.24 m²
- 78.24 m²
- 90.56 m²
Correct answer: 65.12 m²
Rectangle = 40 m²; semicircle = ½π(4²) = ½ × 3.14 × 16 = 25.12 m²; total = 65.12 m².
Bluebook SAT Test Area and Volume 1
A rectangle has a length of 14 cm and a width of 9 cm.
What is the area of the rectangle?