BSEP Geometric Principles 3 — Questions and Answers
Question 1: What is the volume of a rectangular box that is 4 ft long, 3 ft wide, and 2 ft tall?
- 24 ft³ (Correct answer)
- 18 ft³
- 12 ft³
- 48 ft³
Correct answer: 24 ft³
Volume = length × width × height = 4 × 3 × 2 = 24 ft³.
Question 2: Lines that never intersect and are always the same distance apart are called:
- Parallel lines (Correct answer)
- Perpendicular lines
- Intersecting lines
- Diagonal lines
Correct answer: Parallel lines
Parallel lines run in the same direction and never meet, maintaining a constant distance.
Question 3: A square has a side length of 9 cm. What is its area?
- 81 cm² (Correct answer)
- 36 cm²
- 18 cm²
- 45 cm²
Correct answer: 81 cm²
Area of a square = side × side = 9 × 9 = 81 cm².
Question 4: An obtuse angle measures:
- Between 90° and 180° (Correct answer)
- Exactly 90°
- Less than 90°
- Exactly 180°
Correct answer: Between 90° and 180°
An obtuse angle is greater than 90° but less than 180°.
Question 5: What is the circumference of a circle with a radius of 7 in? (Use π ≈ 3.14)
- 43.96 in (Correct answer)
- 21.98 in
- 153.86 in
- 87.92 in
Correct answer: 43.96 in
Circumference = 2πr = 2 × 3.14 × 7 = 43.96 in.
Question 6: In a right triangle, if one leg is 3 units and the other leg is 4 units, what is the length of the hypotenuse?
- 5 units (Correct answer)
- 7 units
- 6 units
- 25 units
Correct answer: 5 units
Using the Pythagorean theorem: 3² + 4² = 9 + 16 = 25, so the hypotenuse = √25 = 5 units.
Question 7: Which quadrilateral has exactly one pair of parallel sides?
- Trapezoid (Correct answer)
- Rectangle
- Rhombus
- Square
Correct answer: Trapezoid
A trapezoid has exactly one pair of parallel sides, distinguishing it from parallelograms.
BSEP Geometric Principles 3
What is the volume of a rectangular box that is 4 ft long, 3 ft wide, and 2 ft tall?