ASVAB Mathematics: Geometry and Measurement 2 — Questions and Answers
Question 1: A cylindrical water tank has a radius of 3 feet and a height of 10 feet. What is its volume in cubic feet?
- 90π (Correct answer)
- 60π
- 30π
- 120π
Correct answer: 90π
Volume of a cylinder = πr²h = π(3²)(10) = 90π cubic feet.
Question 2: Two angles of a triangle measure 47° and 83°. What is the measure of the third angle?
- 50° (Correct answer)
- 40°
- 60°
- 130°
Correct answer: 50°
The sum of angles in a triangle is 180°, so the third angle = 180° − 47° − 83° = 50°.
Question 3: A rectangle has a perimeter of 56 cm and a width of 10 cm. What is its length?
- 18 cm (Correct answer)
- 36 cm
- 28 cm
- 46 cm
Correct answer: 18 cm
Perimeter = 2(l + w), so 56 = 2(l + 10), giving l = 18 cm.
Question 4: What is the area of a trapezoid with bases of 8 cm and 14 cm and a height of 5 cm?
- 55 cm² (Correct answer)
- 110 cm²
- 56 cm²
- 70 cm²
Correct answer: 55 cm²
Area = ½(b₁ + b₂)h = ½(8 + 14)(5) = ½(22)(5) = 55 cm².
Question 5: A diagonal of a square is 10 inches. What is the area of the square?
- 50 in² (Correct answer)
- 100 in²
- 25 in²
- 70.7 in²
Correct answer: 50 in²
Area of a square from diagonal d = d²/2 = 100/2 = 50 in².
Question 6: How many cubic inches are in 2 cubic feet?
- 3,456 in³ (Correct answer)
- 288 in³
- 1,728 in³
- 576 in³
Correct answer: 3,456 in³
1 cubic foot = 12³ = 1,728 cubic inches, so 2 cubic feet = 3,456 cubic inches.
Question 7: A circle has a circumference of 31.4 cm. What is its radius? (Use π ≈ 3.14)
- 5 cm (Correct answer)
- 10 cm
- 15.7 cm
- 2.5 cm
Correct answer: 5 cm
C = 2πr, so r = C/(2π) = 31.4/(2 × 3.14) = 5 cm.
ASVAB Mathematics: Geometry and Measurement 2
A cylindrical water tank has a radius of 3 feet and a height of 10 feet.
What is its volume in cubic feet?