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Formulas Flashcards

7 cards from real Geometry practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Formulas flashcards as text

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

    Answer: 15

    Diagonal = √(9² + 12²) = √225 = 15.

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

    Answer: 113.04

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

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

    Answer: 10

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

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

    Answer: 24

    Area = ½(d1 × d2) = ½(6 × 8) = 24.

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

    Answer: 62.8

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

  6. In a 45-45-90 triangle, if each leg is 7, what is the hypotenuse?

    Answer: 7√2

    The hypotenuse of a 45-45-90 triangle is leg × √2 = 7√2.

  7. What is the volume of a pyramid with a square base of side 6 and height 10?

    Answer: 120

    Volume = ⅓(base area)(height) = ⅓(36)(10) = 120.