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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 right triangle has legs of 5 cm and 12 cm. What is its area?

    Answer: 30 cm²

    Area = ½ × 5 × 12 = 30 cm².

  2. A sphere has a surface area of 36π cm². What is its radius?

    Answer: 3 cm

    4πr² = 36π → r² = 9 → r = 3 cm.

  3. A storage shed is shaped like a rectangular prism: 4 m wide, 6 m long, 3 m tall. What is its volume?

    Answer: 72 m³

    V = 4 × 6 × 3 = 72 m³.

  4. A circle's area is 100π. What is the circumference of the circle?

    Answer: 20π

    πr² = 100π → r = 10; C = 2πr = 20π.

  5. A piece of land is 300 m × 150 m. What is the area in hectares? (1 hectare = 10,000 m²)

    Answer: 4.5 ha

    Area = 300 × 150 = 45,000 m²; 45,000 ÷ 10,000 = 4.5 ha.

  6. A cone has volume 48π cm³ and height 9 cm. What is the radius of its base?

    Answer: 4 cm

    ⅓πr²(9) = 48π → 3πr² = 48π → r² = 16 → r = 4 cm.

  7. Two similar rectangles have a side-length ratio of 3:5. What is the ratio of their areas?

    Answer: 9:25

    Area ratio = (3/5)² = 9/25.