Geometry Formulas 2 — Questions and Answers
Question 1: What is the area of a trapezoid with parallel sides of 6 and 10 and a height of 4?
- 32 (Correct answer)
- 24
- 40
- 16
Correct answer: 32
Area = ½(b1 + b2)h = ½(6 + 10)(4) = 32.
Question 2: What is the circumference of a circle with radius 7? (use π ≈ 3.14)
- 43.96 (Correct answer)
- 153.86
- 21.98
- 49
Correct answer: 43.96
Circumference = 2πr = 2(3.14)(7) = 43.96.
Question 3: What is the volume of a cube with edge length 5?
- 125 (Correct answer)
- 25
- 75
- 150
Correct answer: 125
Volume of a cube = s³ = 5³ = 125.
Question 4: What is the area of an equilateral triangle with side length 4? (use √3 ≈ 1.732)
- 6.93 (Correct answer)
- 13.86
- 8
- 16
Correct answer: 6.93
Area = (√3/4)s² = (1.732/4)(16) ≈ 6.93.
Question 5: What is the surface area of a sphere with radius 3? (use π ≈ 3.14)
- 113.04 (Correct answer)
- 37.68
- 28.26
- 84.78
Correct answer: 113.04
Surface area = 4πr² = 4(3.14)(9) = 113.04.
Question 6: What is the length of the hypotenuse of a right triangle with legs 6 and 8?
- 10 (Correct answer)
- 14
- 12
- 48
Correct answer: 10
By the Pythagorean theorem, √(6² + 8²) = √100 = 10.
Question 7: What is the volume of a cylinder with radius 2 and height 5? (use π ≈ 3.14)
- 62.8 (Correct answer)
- 31.4
- 20
- 125.6
Correct answer: 62.8
Volume = πr²h = 3.14(4)(5) = 62.8.
Geometry Formulas 2
What is the area of a trapezoid with parallel sides of 6 and 10 and a height of 4?