Geometry Perimeter Area & Volume 3 — Questions and Answers
Question 1: The area of a square is 49 cm². What is the length of one side?
- 7 cm (Correct answer)
- 24.5 cm
- 14 cm
- 12 cm
Correct answer: 7 cm
The side equals the square root of the area: √49 = 7 cm.
Question 2: A parallelogram has a base of 12 cm and a height of 5 cm. What is its area?
- 17 cm²
- 34 cm²
- 60 cm² (Correct answer)
- 30 cm²
Correct answer: 60 cm²
Parallelogram area is base times height: 12 × 5 = 60 cm².
Question 3: What is the circumference of a circle with a diameter of 10 cm? (Use π ≈ 3.14)
- 31.4 cm (Correct answer)
- 15.7 cm
- 78.5 cm
- 62.8 cm
Correct answer: 31.4 cm
Circumference is π times diameter: 3.14 × 10 = 31.4 cm.
Question 4: A cylinder has a base radius of 3 cm and a height of 10 cm. What is its volume? (Use π ≈ 3.14)
- 94.2 cm³
- 282.6 cm³ (Correct answer)
- 188.4 cm³
- 90 cm³
Correct answer: 282.6 cm³
Cylinder volume is πr²h = 3.14 × 9 × 10 = 282.6 cm³.
Question 5: A trapezoid has parallel sides of 6 cm and 10 cm and a height of 4 cm. What is its area?
- 32 cm² (Correct answer)
- 64 cm²
- 40 cm²
- 16 cm²
Correct answer: 32 cm²
Trapezoid area is ½(a + b) × h = ½(6 + 10) × 4 = 32 cm².
Question 6: The perimeter of an equilateral triangle is 27 cm. What is the length of each side?
- 13.5 cm
- 9 cm (Correct answer)
- 6.75 cm
- 3 cm
Correct answer: 9 cm
An equilateral triangle has three equal sides: 27 ÷ 3 = 9 cm.
Question 7: What is the volume of a sphere with a radius of 3 cm? (Use π ≈ 3.14)
- 113.04 cm³ (Correct answer)
- 28.26 cm³
- 56.52 cm³
- 84.78 cm³
Correct answer: 113.04 cm³
Sphere volume is 4/3 πr³ = 4/3 × 3.14 × 27 ≈ 113.04 cm³.
Geometry Perimeter Area & Volume 3
The area of a square is 49 cm².
What is the length of one side?