RICAS Geometry and Measurement 2 — Questions and Answers
Question 1: What is the volume of a rectangular prism that is 4 cm long, 3 cm wide, and 5 cm tall?
- 60 cm³ (Correct answer)
- 47 cm³
- 120 cm³
- 24 cm³
Correct answer: 60 cm³
Volume = length × width × height = 4 × 3 × 5 = 60 cm³.
Question 2: Two lines are parallel. A transversal crosses them, forming an angle of 65° with the first line. What is the measure of the corresponding angle with the second line?
- 65° (Correct answer)
- 115°
- 25°
- 130°
Correct answer: 65°
Corresponding angles formed by a transversal cutting parallel lines are congruent, so both measure 65°.
Question 3: A square has an area of 49 m². What is the length of one side?
- 7 m (Correct answer)
- 12.25 m
- 14 m
- 24.5 m
Correct answer: 7 m
Since area = side², the side length = √49 = 7 m.
Question 4: What is the circumference of a circle with a diameter of 10 cm? (Use π ≈ 3.14)
- 31.4 cm (Correct answer)
- 78.5 cm
- 15.7 cm
- 62.8 cm
Correct answer: 31.4 cm
Circumference = π × diameter = 3.14 × 10 = 31.4 cm.
Question 5: A polygon has interior angles that sum to 540°. How many sides does this polygon have?
- 5 (Correct answer)
- 6
- 4
- 7
Correct answer: 5
The sum of interior angles = (n − 2) × 180°. Solving (n − 2) × 180 = 540 gives n = 5, a pentagon.
Question 6: Which pair of angles are supplementary?
- 110° and 70° (Correct answer)
- 45° and 45°
- 30° and 60°
- 90° and 90°
Correct answer: 110° and 70°
Supplementary angles sum to 180°, and 110° + 70° = 180°.
Question 7: A map uses a scale of 1 inch = 50 miles. If two cities are 3.5 inches apart on the map, what is the actual distance?
- 175 miles (Correct answer)
- 53.5 miles
- 150 miles
- 200 miles
Correct answer: 175 miles
Actual distance = map distance × scale = 3.5 × 50 = 175 miles.
RICAS Geometry and Measurement 2
What is the volume of a rectangular prism that is 4 cm long, 3 cm wide, and 5 cm tall?