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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. An equilateral triangle has side length 8. What is its area? (Leave answer in simplified radical form.)

    Answer: 16√3

    Area = (√3/4)s² = (√3/4)(64) = 16√3.

  2. A cylinder has radius 3 and height h. If the volume is 54π, what is h?

    Answer: 6

    V = πr²h → 54π = π(9)h → h = 54/9 = 6.

  3. A trapezoid has parallel sides of 7 ft and 13 ft. If its area is 100 ft², what is its height?

    Answer: 10 ft

    A = ½(b₁ + b₂)h → 100 = ½(20)h = 10h → h = 10.

  4. A rectangular prism has surface area 94 cm². Its length is 5 cm and width is 4 cm. What is its height?

    Answer: 3 cm

    SA = 2(lw + lh + wh) → 94 = 2(20 + 5h + 4h) → 47 = 20 + 9h → h = 3.

  5. A sector of a circle has radius 10 and central angle 72°. What is its arc length? (Leave in terms of π.)

    Answer: 4π

    Arc length = (72/360)(2π)(10) = (1/5)(20π) = 4π.

  6. A glass has the shape of a cylinder with radius 4 cm and height 12 cm. It is 3/4 full of juice. What is the volume of juice? (Leave in terms of π.)

    Answer: 144π cm³

    Full volume = π(16)(12) = 192π; 3/4 × 192π = 144π cm³.

  7. A hollow cube has an outer edge of 8 cm and a wall thickness of 1 cm everywhere. What is the volume of the hollow interior?

    Answer: 216 cm³

    Inner edge = 8 − 2(1) = 6 cm; inner volume = 6³ = 216 cm³.