Draw Shapes

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Answer Key & Explanations

Draw Shapes · Grade 2 · Worksheet 1

1. Kaia is looking at a shape in her math book. The shape has a square base and four triangular faces that meet at a point at the top. What is the name of this 3D shape? Answer: pyramid Solution: Read the description: the shape has a square base and four triangular faces that meet at a point at the top. A prism has two identical ends and rectangular sides, not a point at the top.
   Full step-by-step solution

   Step 1: Read the description: the shape has a square base and four triangular faces that meet at a point at the top. Step 2: A prism has two identical ends and rectangular sides, not a point at the top. Step 3: A pyramid has a polygon base (here, a square) and triangular faces that meet at a single point called the apex. Step 4: Since the base is a square and the faces are triangles meeting at a point, this matches a pyramid. The answer is pyramid.

2. Aroha draws a 3D shape with 5 faces. One face is a square, and the other four faces are triangles. What is the name of this shape? Answer: pyramid Solution: Identify the shape has 5 faces total. Step 2: One face is a square, which is the base. Step 3: The other four faces are triangles, which are the sides.
   Full step-by-step solution

   Step 1: Identify the shape has 5 faces total. Step 2: One face is a square, which is the base. Step 3: The other four faces are triangles, which are the sides. Step 4: A 3D shape with a square base and triangular faces that meet at a single point is called a pyramid. The answer is pyramid.

3. Kaia is helping her teacher sort shape blocks in the classroom. She picks up a solid block that has two triangle-shaped faces and three rectangle-shaped faces. What is the name of this 3D shape? Answer: triangular prism Solution: The problem says the block has 2 triangle-shaped faces and 3 rectangle-shaped faces. Step 2: A pyramid has a square base and four triangle faces, so that doesn't match.
   Full step-by-step solution

   Step 1: The problem says the block has 2 triangle-shaped faces and 3 rectangle-shaped faces. Step 2: A pyramid has a square base and four triangle faces, so that doesn't match. Step 3: A prism is a 3D shape with two identical polygon faces (bases) and rectangular sides. Step 4: If the two bases are triangles, it is called a triangular prism. Step 5: A triangular prism has 2 triangle faces and 3 rectangle faces. The answer is triangular prism.

4. Mason draws a shape with 6 sides. What is the name of this shape? Answer: hexagon Solution: A pentagon has 5 sides. Step 2: A hexagon has 6 sides. Step 3: Since the shape has 6 sides, it is a hexagon.
   Full step-by-step solution

   Step 1: A pentagon has 5 sides. Step 2: A hexagon has 6 sides. Step 3: Since the shape has 6 sides, it is a hexagon. The answer is hexagon.

5. Ava is drawing shapes on the sidewalk with chalk. First, she draws a flat shape that has 5 straight sides and 5 corners. Then, she draws a solid shape that has a square base and 4 triangular faces that meet at a point at the top. Which shape did Ava draw first—a pentagon or a pyramid? Answer: pentagon Solution: The first shape Ava drew has 5 straight sides and 5 corners. A flat shape with 5 sides is called a pentagon. Step 2: The second shape she drew is a solid shape with a square base and triangular faces, which is a pyramid.
   Full step-by-step solution

   Step 1: The first shape Ava drew has 5 straight sides and 5 corners. A flat shape with 5 sides is called a pentagon. Step 2: The second shape she drew is a solid shape with a square base and triangular faces, which is a pyramid. Step 3: The question asks for the name of the first shape she drew. Since it has 5 sides and is flat, it is a pentagon. The answer is pentagon.

6. Noah is building a shape with 6 sides for his art project. He wants to draw the shape on paper first. What is the name of the shape Noah needs to draw? Answer: hexagon Solution: Noah's shape has 6 sides. Step 2: A shape with 6 sides is called a hexagon. Step 3: The answer is hexagon.
   Full step-by-step solution

   Step 1: Noah's shape has 6 sides. Step 2: A shape with 6 sides is called a hexagon. Step 3: The answer is hexagon.

7. Sophia is drawing a 3D shape that has 8 vertices, 6 faces, and 12 edges. All of its faces are rectangles. What is the name of this 3D shape? Answer: rectangular prism Solution: Count the vertices (corners): 8. Step 2: Count the faces (flat surfaces): 6. Step 3: Count the edges (where two faces meet): 12.
   Full step-by-step solution

   Step 1: Count the vertices (corners): 8. Step 2: Count the faces (flat surfaces): 6. Step 3: Count the edges (where two faces meet): 12. Step 4: Notice that all faces are rectangles. Step 5: A 3D shape with these properties is a rectangular prism (also called a cuboid). The answer is rectangular prism.

8. Emma is drawing shapes on a piece of paper. She draws a flat shape that has 5 straight sides and 5 corners. What is the name of this 2D shape? Answer: pentagon Solution: The problem says the shape has 5 straight sides and 5 corners. Step 2: A hexagon has 6 sides, so that does not match. Step 3: A pyramid is a 3D shape, not a flat 2D shape.
   Full step-by-step solution

   Step 1: The problem says the shape has 5 straight sides and 5 corners. Step 2: A hexagon has 6 sides, so that does not match. Step 3: A pyramid is a 3D shape, not a flat 2D shape. Step 4: A prism is also a 3D shape. Step 5: A pentagon is a flat 2D shape with exactly 5 sides and 5 corners. The answer is pentagon.