Math Math Geometry and Measurement 4 — Questions and Answers
Question 1: A circle has a circumference of 31.4 inches. What is its diameter? (Use π ≈ 3.14)
- 5 inches
- 10 inches (Correct answer)
- 15 inches
- 20 inches
Correct answer: 10 inches
Circumference = π × d, so d = 31.4 ÷ 3.14 = 10 inches.
Question 2: Two angles are supplementary. One angle measures 73°. What is the measure of the other angle?
- 17°
- 27°
- 107° (Correct answer)
- 117°
Correct answer: 107°
Supplementary angles sum to 180°, so 180° − 73° = 107°.
Question 3: A rectangular prism has a length of 8 cm, width of 5 cm, and height of 3 cm. What is its surface area?
- 79 cm²
- 120 cm²
- 158 cm² (Correct answer)
- 240 cm²
Correct answer: 158 cm²
SA = 2(lw + lh + wh) = 2(40 + 24 + 15) = 2(79) = 158 cm².
Question 4: What is the volume of a cylinder with radius 4 cm and height 10 cm? (Use π ≈ 3.14)
- 125.6 cm³
- 251.2 cm³
- 502.4 cm³ (Correct answer)
- 1004.8 cm³
Correct answer: 502.4 cm³
V = πr²h = 3.14 × 16 × 10 = 502.4 cm³.
Question 5: A square has a diagonal of 10√2 inches. What is the area of the square?
- 50 in²
- 100 in² (Correct answer)
- 141 in²
- 200 in²
Correct answer: 100 in²
The diagonal of a square = s√2, so s = 10 inches and area = 10² = 100 in².
Question 6: Triangle ABC has angles measuring 45°, 90°, and 45°. If the hypotenuse is 12 inches, what is the length of each leg?
- 6 inches
- 6√2 inches (Correct answer)
- 8 inches
- 9 inches
Correct answer: 6√2 inches
In a 45-45-90 triangle, each leg = hypotenuse ÷ √2 = 12 ÷ √2 = 6√2 inches.
Question 7: How many cubic feet of water can a tank hold if it is a cube with sides measuring 4 feet?
- 16 ft³
- 24 ft³
- 48 ft³
- 64 ft³ (Correct answer)
Correct answer: 64 ft³
Volume of a cube = s³ = 4³ = 64 cubic feet.
Math Math Geometry and Measurement 4
A circle has a circumference of 31.4 inches.
What is its diameter? (Use π ≈ 3.14)