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Area and Volume Flashcards

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

Read the first 7 Area and Volume flashcards as text

  1. A triangular pyramid has a base area of 30 cm² and height 8 cm. What is its volume?

    Answer: 80 cm³

    V = ⅓ × base area × height = ⅓ × 30 × 8 = 80 cm³.

  2. A rectangle has perimeter 40 cm and width 8 cm. What is its area?

    Answer: 96 cm²

    2(l + 8) = 40 → l = 12 cm; Area = 12 × 8 = 96 cm².

  3. A circle has circumference 16π cm. What is its area?

    Answer: 64π cm²

    C = 2πr = 16π → r = 8; Area = π(8²) = 64π cm².

  4. Two cubes have side lengths 3 cm and 6 cm. What is the ratio of their volumes?

    Answer: 1:8

    Volumes: 27 cm³ and 216 cm³; ratio = 27:216 = 1:8.

  5. A cylinder has radius r and height 2r. Which expression gives its volume?

    Answer: 2πr³

    V = πr²(2r) = 2πr³.

  6. A garden is shaped like a right triangle with legs 24 m and 10 m. What is the area?

    Answer: 120 m²

    Area = ½ × 24 × 10 = 120 m².

  7. A sphere has volume (500/3)π cm³. What is the radius?

    Answer: 5 cm

    (4/3)πr³ = (500/3)π → 4r³ = 500 → r³ = 125 → r = 5 cm.