Geometry Formulas 5

Question 1

What is the diagonal of a rectangle with sides 9 and 12?

Accepted Answer

15

Answer

Diagonal = √(9² + 12²) = √225 = 15.

Question 2

What is the volume of a sphere with radius 3? (use π ≈ 3.14)

Accepted Answer

113.04

Answer

Volume = (4/3)πr³ = (4/3)(3.14)(27) = 113.04.

Question 3

In a 30-60-90 triangle, if the shortest side is 5, what is the hypotenuse?

Accepted Answer

10

Answer

The hypotenuse is twice the shortest side, so 2 × 5 = 10.

Question 4

What is the area of a rhombus with diagonals 6 and 8?

Accepted Answer

24

Answer

Area = ½(d1 × d2) = ½(6 × 8) = 24.

Question 5

What is the total surface area of a cylinder with radius 2 and height 3? (use π ≈ 3.14)

Accepted Answer

62.8

Answer

SA = 2πr² + 2πrh = 2(3.14)(4) + 2(3.14)(2)(3) = 25.12 + 37.68 = 62.8.

Geometry Practice Test