Identify 3D Shapes

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Answer Key & Explanations

Identify 3D Shapes · Kindergarten · Worksheet 2

1. A construction company is building a playground and needs to order concrete blocks shaped like rectangular prisms. Each block measures 60 cm long, 40 cm wide, and 30 cm tall. If they need 125 blocks to build the playground wall, how many cubic centimeters of concrete will be needed for all the blocks? Answer: A. 9,000,000 cubic cm Solution: Volume = length × width × height Volume = 60 cm × 40 cm × 30 cm Calculate 60 × 40 = 2,400 Calculate 2,400 × 30 = 72,000 cubic cm per block 72,000 cubic cm × 125 blocks Calculate 72,000 × 100 = 7,200,000 Calculate 72,000 × 25 = 1,800,000 Add the results: 7,200,000 + 1,800,000 = 9,000,000 cubic cm…
   Full step-by-step solution

   Step 1: Find the volume of one rectangular prism block Volume = length × width × height Volume = 60 cm × 40 cm × 30 cm Step 2: Calculate 60 × 40 = 2,400 Step 3: Calculate 2,400 × 30 = 72,000 cubic cm per block Step 4: Multiply by the number of blocks needed 72,000 cubic cm × 125 blocks Step 5: Calculate 72,000 × 100 = 7,200,000 Step 6: Calculate 72,000 × 25 = 1,800,000 Step 7: Add the results: 7,200,000 + 1,800,000 = 9,000,000 cubic cm The correct answer is 9,000,000 cubic cm.

2. Liam is building a toy box for his little sister. He wants to make a shape that has 6 square faces that are all the same size. Which shape should Liam build? Answer: B. Cube Solution: A rectangular prism has 6 faces, but they are rectangles, not all squares A triangular pyramid has 4 triangular faces, not 6 square faces A cube has exactly 6 square faces that are all the same size A cylinder has 2 circular faces and 1 curved surface, not 6 square faces The correct answer is Cube.
   Full step-by-step solution

   Step 1: A rectangular prism has 6 faces, but they are rectangles, not all squares Step 2: A triangular pyramid has 4 triangular faces, not 6 square faces Step 3: A cube has exactly 6 square faces that are all the same size Step 4: A cylinder has 2 circular faces and 1 curved surface, not 6 square faces The correct answer is Cube.

3. Look at the shape of a soccer ball. It is round like a ball and has no corners. Which shape is it? Answer: A. Sphere Solution: A cube is like a box and has square faces and corners. A pyramid has a square or triangle base and pointed sides. A sphere is perfectly round, like a ball, and has no corners.
   Full step-by-step solution

   Step 1: A cube is like a box and has square faces and corners. Step 2: A pyramid has a square or triangle base and pointed sides. Step 3: A sphere is perfectly round, like a ball, and has no corners. Step 4: A cone has a round base and a pointed tip. A soccer ball is round and has no corners, so it is a sphere. The correct answer is Sphere.

4. Which shape is round with no corners and no flat sides? Answer: D. Sphere Solution: A cube has 6 flat square faces and 8 corners A pyramid has triangular faces and a point at the top with corners A sphere is completely round with no flat sides and no corners A cylinder has 2 flat circular faces and a curved surface The correct answer is Sphere.
   Full step-by-step solution

   Step 1: A cube has 6 flat square faces and 8 corners Step 2: A pyramid has triangular faces and a point at the top with corners Step 3: A sphere is completely round with no flat sides and no corners Step 4: A cylinder has 2 flat circular faces and a curved surface The correct answer is Sphere.