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
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
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
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.
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.
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.