Draw Shapes

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Answer Key & Explanations

Draw Shapes · Grade 2 · Worksheet 3

1. Hana is looking at a 3D shape. It 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: Identify the base: The problem says the shape has a square base. Step 2: Count the faces: There are four triangular faces.
   Full step-by-step solution

   Step 1: Identify the base: The problem says the shape has a square base. Step 2: Count the faces: There are four triangular faces. Step 3: Visualize the shape: A square base with four triangles meeting at a single point at the top is a pyramid. The answer is pyramid.

2. Ava is building a sandcastle at the beach. She wants to put a flag on top of a tower that looks like a 3D shape with a square bottom and four triangle sides that meet at a point. What is the name of this 3D shape? Answer: pyramid Solution: Read the description carefully: a square bottom (base) and four triangle sides that meet at a point. Step 2: Recall that a pyramid is a 3D shape with a polygon base and triangular faces that meet at a single point called the apex.
   Full step-by-step solution

   Step 1: Read the description carefully: a square bottom (base) and four triangle sides that meet at a point. Step 2: Recall that a pyramid is a 3D shape with a polygon base and triangular faces that meet at a single point called the apex. Step 3: Since the base is a square, this is a square pyramid. The answer is pyramid.

3. Aroha is drawing a 2D shape that has 6 straight sides. What is the name of this shape? Answer: hexagon Solution: Count the number of sides mentioned in the problem: 6 sides. Step 2: Recall the names of polygons: a 5-sided shape is a pentagon, and a 6-sided shape is a hexagon.
   Full step-by-step solution

   Step 1: Count the number of sides mentioned in the problem: 6 sides. Step 2: Recall the names of polygons: a 5-sided shape is a pentagon, and a 6-sided shape is a hexagon. Step 3: Since the shape has 6 straight sides, the correct name is hexagon. The answer is hexagon.

4. Sophia is helping her art teacher sort shape cutouts. She picks up a shape that has 6 flat sides and 6 corners. What is the name of this 2D shape? Answer: hexagon Solution: Count the number of sides. The shape has 6 sides. A polygon with 6 sides is called a hexagon.
   Full step-by-step solution

   Step 1: Count the number of sides. The shape has 6 sides. Step 2: A polygon with 6 sides is called a hexagon. Step 3: The shape also has 6 corners, which matches a hexagon. The answer is hexagon.

5. Matiu is looking at a 3D shape. It has 2 triangular faces and 3 rectangular faces. What is the name of this 3D shape? Answer: triangular prism Solution: Count the faces described. There are 2 triangular faces and 3 rectangular faces. A 3D shape with two identical triangular ends and rectangular sides is called a triangular prism.
   Full step-by-step solution

   Step 1: Count the faces described. There are 2 triangular faces and 3 rectangular faces. Step 2: A 3D shape with two identical triangular ends and rectangular sides is called a triangular prism. Step 3: The triangular faces are the bases, and the rectangular faces connect them. The answer is triangular prism.

6. Noah is building a shape with clay. He makes a solid shape that has two triangular faces and three rectangular faces. What is the name of this 3D shape? Answer: triangular prism Solution: The problem says the shape has two triangular faces and three rectangular faces. A pyramid has a square base and four triangular faces, so it doesn't have rectangular faces.
   Full step-by-step solution

   Step 1: The problem says the shape has two triangular faces and three rectangular faces. Step 2: A pyramid has a square base and four triangular faces, so it doesn't have rectangular faces. Step 3: A prism has two identical polygon faces (the bases) and rectangular side faces. Step 4: If the two identical faces are triangles, it is a triangular prism. It will have three rectangular faces connecting the two triangles. Step 5: This matches the description: two triangles and three rectangles. The answer is triangular prism.

7. Noah is building a model. He has a 3D shape that has 6 rectangular faces and 2 hexagonal faces. What 3D shape is Noah building? Answer: hexagonal prism Solution: The problem says the shape has 6 rectangular faces and 2 hexagonal faces. A shape with two identical faces at the ends and rectangular faces connecting them is a prism. The two end faces are hexagons (6-sided shapes).
   Full step-by-step solution

   Step 1: The problem says the shape has 6 rectangular faces and 2 hexagonal faces. Step 2: A shape with two identical faces at the ends and rectangular faces connecting them is a prism. Step 3: The two end faces are hexagons (6-sided shapes). Step 4: Therefore, the shape is a hexagonal prism. The answer is hexagonal prism.

8. Mason is drawing a 3D shape that has 6 rectangular faces and 2 hexagonal faces. What is the name of this 3D shape? Answer: hexagonal prism Solution: The shape has 6 rectangular faces and 2 hexagonal faces. A prism is a 3D shape with two identical polygon faces (bases) and rectangular faces connecting them. Since the two bases are hexagons, this is a hexagonal prism.
   Full step-by-step solution

   Step 1: The shape has 6 rectangular faces and 2 hexagonal faces. Step 2: A prism is a 3D shape with two identical polygon faces (bases) and rectangular faces connecting them. Step 3: Since the two bases are hexagons, this is a hexagonal prism. The answer is hexagonal prism.

9. Which shape has 5 sides? Answer: pentagon Solution: Count the number of sides mentioned in the problem: 5 sides. Recall the names of common 2D shapes: triangle (3 sides), quadrilateral (4 sides), pentagon (5 sides), hexagon (6 sides).
   Full step-by-step solution

   Step 1: Count the number of sides mentioned in the problem: 5 sides. Step 2: Recall the names of common 2D shapes: triangle (3 sides), quadrilateral (4 sides), pentagon (5 sides), hexagon (6 sides). Step 3: The shape with exactly 5 sides is called a pentagon. The answer is pentagon.