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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. What is the area of a circle with diameter 10? (Leave answer in terms of π)

    Answer: 25π

    Radius = 5; Area = π(5²) = 25π.

  2. A rectangular prism has volume 180 cm³, length 9 cm, and width 4 cm. What is its height?

    Answer: 5 cm

    h = V ÷ (l × w) = 180 ÷ 36 = 5 cm.

  3. The length of a rectangle is twice its width. If the area is 72 m², what is the width?

    Answer: 6 m

    Let w = width, l = 2w; A = 2w² = 72 → w² = 36 → w = 6 m.

  4. A trapezoid has parallel sides of 8 cm and 12 cm, and a height of 5 cm. What is its area?

    Answer: 50 cm²

    A = ½(b₁ + b₂)h = ½(8 + 12)(5) = ½ × 20 × 5 = 50 cm².

  5. A sphere's radius is tripled. By what factor does its volume increase?

    Answer: 27

    Volume ∝ r³; tripling r multiplies volume by 3³ = 27.

  6. A triangular prism has a triangular cross-section with base 6 m and height 4 m, and prism length 10 m. What is its volume?

    Answer: 120 m³

    V = (½ × 6 × 4) × 10 = 12 × 10 = 120 m³.

  7. A square has an area of 144 cm². What is the perimeter of the square?

    Answer: 48 cm

    Side = √144 = 12 cm; Perimeter = 4 × 12 = 48 cm.