Shape Attributes

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Answer Key & Explanations

Shape Attributes · Grade 2 · Worksheet 1

1. A rectangular prism has a length of 12.5 cm, a width of 8.4 cm, and a height of 6.2 cm. What is the volume of this rectangular prism? Answer: B. 651.0 cubic cm Solution: The formula for volume of a rectangular prism is length × width × height Multiply the dimensions: 12.5 × 8.4 × 6.2 First multiply 12.5 × 8.4 = 105.0 Then multiply 105.0 × 6.2 = 651.0 The volume is 651.0 cubic centimeters The correct answer is 651.0 cubic cm.
   Full step-by-step solution

   Step 1: The formula for volume of a rectangular prism is length × width × height Step 2: Multiply the dimensions: 12.5 × 8.4 × 6.2 Step 3: First multiply 12.5 × 8.4 = 105.0 Step 4: Then multiply 105.0 × 6.2 = 651.0 Step 5: The volume is 651.0 cubic centimeters The correct answer is 651.0 cubic cm.

2. Sam is sorting shapes for his art project. He finds a shape that has 4 sides and 4 corners. All of its sides are straight lines, and two sides are longer than the other two sides. Which shape did Sam find? Answer: B. Rectangle Solution: A square has 4 equal sides and 4 corners. A rectangle has 4 sides and 4 corners, but two opposite sides are longer than the other two. A triangle has only 3 sides and 3 corners.
   Full step-by-step solution

   Step 1: A square has 4 equal sides and 4 corners. Step 2: A rectangle has 4 sides and 4 corners, but two opposite sides are longer than the other two. Step 3: A triangle has only 3 sides and 3 corners. Step 4: A circle has no straight sides and no corners. Since Sam's shape has 4 sides, 4 corners, and two sides are longer than the other two, it must be a rectangle. The correct answer is Rectangle.

3. Which shape has exactly one pair of parallel sides and all sides of different lengths? Answer: A. Scalene trapezoid Solution: A square has two pairs of parallel sides and all four sides equal A rectangle has two pairs of parallel sides and opposite sides equal A scalene trapezoid has exactly one pair of parallel sides and all four sides different lengths A rhombus has two pairs of parallel sides and all four sides…
   Full step-by-step solution

   Step 1: A square has two pairs of parallel sides and all four sides equal Step 2: A rectangle has two pairs of parallel sides and opposite sides equal Step 3: A scalene trapezoid has exactly one pair of parallel sides and all four sides different lengths Step 4: A rhombus has two pairs of parallel sides and all four sides equal The correct answer is Scalene trapezoid.

4. Which shape has 3 sides and 3 corners? Answer: C. Triangle Solution: A square has 4 sides and 4 corners. A triangle has 3 sides and 3 corners. A rectangle has 4 sides and 4 corners.
   Full step-by-step solution

   Step 1: A square has 4 sides and 4 corners. Step 2: A triangle has 3 sides and 3 corners. Step 3: A rectangle has 4 sides and 4 corners. Step 4: A circle has 0 sides and 0 corners. The shape with 3 sides and 3 corners is the triangle, so the correct answer is Triangle.