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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 parallelogram has area 84 cm² and base 12 cm. What is its height?

    Answer: 7 cm

    A = base × height → 84 = 12h → h = 7 cm.

  2. A cone has slant height 13 cm and radius 5 cm. What is the lateral surface area in terms of π?

    Answer: 65π cm²

    Lateral SA = πrl = π(5)(13) = 65π cm².

  3. A rectangle's length is 3 more than twice its width. If the area is 54, what is the width?

    Answer: 6

    Let width = w; length = 2w − 3; w(2w − 3) = 54 → 2w² − 3w − 54 = 0 → (2w + 9)(w − 6) = 0 → w = 6.

  4. A kite has diagonals of 15 cm and 8 cm. What is its area?

    Answer: 60 cm²

    Area = (d₁ × d₂)/2 = (15 × 8)/2 = 60 cm².

  5. A cylindrical tank has radius 5 m and height 4 m. Water is pumped in at 2 m³/min. How many minutes to fill it? (Use π ≈ 3.14)

    Answer: 157 min

    Volume = π(25)(4) = 100π ≈ 314 m³; time = 314/2 = 157 min.

  6. The ratio of the radii of two spheres is 1:2. What is the ratio of their surface areas?

    Answer: 1:4

    Surface area = 4πr²; ratio = r₁²:r₂² = 1²:2² = 1:4.

  7. A right circular cone is cut parallel to its base at the midpoint of its height, creating a smaller top cone. What fraction of the original volume is the smaller cone?

    Answer: 1/8

    The top cone has half the height and half the radius (similar shapes), so its volume = (1/2)³ = 1/8 of the original.