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Shape Attributes

Grade 2 · Geometry · Worksheet 3

  1. Liam is designing a shipping container for his family's business that needs to hold exactly 1,728 cubic feet of electronics equipment. The container must have a square base and be exactly 12 feet tall. Which shape describes the base of Liam's container?
    • A. square
    • B. circle
    • C. rectangle
    • D. triangle
  2. Lily is drawing shapes for her art project. She draws a shape that has 4 equal sides and 4 corners. All the sides are the same length. Which shape did Lily draw?
    • A. Rectangle
    • B. Triangle
    • C. Square
    • D. Circle
  3. Liam is building a rectangular garden bed that measures 12 feet long and 8 feet wide. He wants to place a fence post at each corner of the garden. Which shape best describes the arrangement of these corner posts?
    • A. Pentagon
    • B. Rectangle
    • C. Triangle
    • D. Hexagon
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Answer Key & Explanations

Shape Attributes · Grade 2 · Worksheet 3

  1. Liam is designing a shipping container for his family's business that needs to hold exactly 1,728 cubic feet of electronics equipment. The container must have a square base and be exactly 12 feet tall. Which shape describes the base of Liam's container? Answer: A. square Solution: The formula for volume of a rectangular prism is Volume = Base Area × Height We know the volume is 1,728 cubic feet and the height is 12 feet Set up the equation: 1,728 = Base Area × 12 Divide both sides by 12: Base Area = 1,728 ÷ 12 = 144 square feet The problem states the container has a…
    Full step-by-step solution

    Step 1: The formula for volume of a rectangular prism is Volume = Base Area × Height Step 2: We know the volume is 1,728 cubic feet and the height is 12 feet Step 3: Set up the equation: 1,728 = Base Area × 12 Step 4: Divide both sides by 12: Base Area = 1,728 ÷ 12 = 144 square feet Step 5: The problem states the container has a square base, so all sides are equal Step 6: For a square, Area = side × side, so side × side = 144 Step 7: The square root of 144 is 12, so each side is 12 feet Step 8: Since all sides are equal and it's a square, the correct shape is a square The correct answer is square.

  2. Lily is drawing shapes for her art project. She draws a shape that has 4 equal sides and 4 corners. All the sides are the same length. Which shape did Lily draw? Answer: C. Square Solution: A square has 4 equal sides and 4 corners where all sides are the same length. A rectangle has 4 sides and 4 corners, but opposite sides are equal, not all sides. A triangle has 3 sides and 3 corners.
    Full step-by-step solution

    Step 1: A square has 4 equal sides and 4 corners where all sides are the same length. Step 2: A rectangle has 4 sides and 4 corners, but opposite sides are equal, not all sides. Step 3: A triangle has 3 sides and 3 corners. Step 4: A circle has no straight sides and no corners. Since Lily's shape has 4 equal sides and 4 corners with all sides the same length, she drew a square.

  3. Liam is building a rectangular garden bed that measures 12 feet long and 8 feet wide. He wants to place a fence post at each corner of the garden. Which shape best describes the arrangement of these corner posts? Answer: B. Rectangle Solution: A rectangular garden bed has 4 corners Liam is placing one fence post at each of the 4 corners When you connect these 4 corner posts with imaginary lines, they form a rectangle A triangle has 3 corners, a pentagon has 5 corners, and a hexagon has 6 corners Since there are exactly 4 corner posts…
    Full step-by-step solution

    Step 1: A rectangular garden bed has 4 corners Step 2: Liam is placing one fence post at each of the 4 corners Step 3: When you connect these 4 corner posts with imaginary lines, they form a rectangle Step 4: A triangle has 3 corners, a pentagon has 5 corners, and a hexagon has 6 corners Step 5: Since there are exactly 4 corner posts forming a four-sided shape with opposite sides equal, the arrangement forms a rectangle The correct answer is Rectangle.