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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 square pyramid has a base side of 6 m and height of 8 m. What is its volume?

    Answer: 96 m³

    V = (1/3) × base area × h = (1/3)(36)(8) = 96 m³.

  2. A circle has area 36π. What is the circumference of the circle?

    Answer: 12π

    Area = πr² = 36π → r = 6; circumference = 2πr = 12π.

  3. A 4 cm × 9 cm rectangle is cut in half diagonally. What is the area of each triangle formed?

    Answer: 18 cm²

    Rectangle area = 36 cm²; each triangle = 36/2 = 18 cm².

  4. A sphere and a cube have the same volume. The cube has side length 6. What is the approximate radius of the sphere? (Use π ≈ 3.14)

    Answer: 3.06

    Cube volume = 216; (4/3)πr³ = 216 → r³ = 216/(4.19) ≈ 51.55 → r ≈ 3.06.

  5. An L-shaped region consists of a 6 × 6 square with a 2 × 4 rectangle removed from one corner. What is the area of the L-shape?

    Answer: 28

    Area = 36 − (2 × 4) = 36 − 8 = 28.

  6. Two cylinders have the same volume. Cylinder A has radius 2 and height 9. Cylinder B has radius 3. What is the height of Cylinder B?

    Answer: 4

    V_A = π(4)(9) = 36π; 36π = π(9)h_B → h_B = 4.

  7. A rectangular field 60 m × 40 m is surrounded by a fence that is 2 m from the field on all sides. What is the area enclosed by the fence?

    Answer: 3392 m²

    Fenced dimensions: (60+4) × (40+4) = 64 × 53 = 3392 m².

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Sources & references

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  1. satsuite.collegeboard.org — Score release, test delivery, time limit, test dates, fees, registration, retake policy · verified Oct 2026
  2. bluebook.collegeboard.org — Test delivery · verified Oct 2026