Educational worksheet for identifying geometric solids and their properties, including base shape, number of faces, and cross-sections.
A worksheet with six solid figures (cube, cylinder, pyramid, pentagonal prism, rectangular prism, and square pyramid) and questions about their names, bases, number of faces, and cross-sections when sliced parallel or perpendicular to the base.
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Show Answer Key & Explanations
Step-by-step solution for: 12 Activities to Practice Cross Sections of 3D Shapes Like a Ninja ...
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Show Answer Key & Explanations
Step-by-step solution for: 12 Activities to Practice Cross Sections of 3D Shapes Like a Ninja ...
Let's go through each solid figure one by one and answer the questions based on its geometric properties.
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- What is the name of the solid?
→ Cube
- Which figure is the base of the solid?
→ The base is a square.
- How many faces does it have?
→ A cube has 6 faces.
- Which figure results when you slice it parallel to the base?
→ Slicing parallel to the base (top or bottom) gives a square.
- Which figure results when you slice it perpendicular to the base?
→ A vertical slice (perpendicular to the base) through the center gives a rectangle (or square, if sliced along the axis).
- Which figure results when you slice it diagonal to the base?
→ A diagonal slice (not aligned with edges) can result in a rectangle or parallelogram, depending on angle. But typically, a diagonal cross-section through opposite corners forms a rectangle (possibly a square). In this case, since all edges are equal, it may form a square or rectangle — but most commonly, it's a rectangle.
> ✔ Final Answer: Rectangle
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- What is the name of the solid?
→ Cylinder
- Which figure is the base of the solid?
→ The base is a circle.
- How many faces does it have?
→ A cylinder has 3 faces: two circular bases and one curved surface. However, in some contexts, only flat surfaces are counted as "faces". So:
- If counting flat faces only, it has 2 faces.
- But since the question asks for “faces” and includes curved surfaces, we consider:
→ Typically, cylinders are said to have 2 faces (bases) and 1 curved surface, but faces usually refer to flat surfaces. So:
→ 2 faces (the top and bottom circles)
> ✔ Final Answer: 2 faces
- Which figure results when you slice it parallel to the base?
→ A horizontal cut (parallel to the base) gives a circle.
- Which figure results when you slice it perpendicular to the base?
→ A vertical cut (perpendicular to the base, through the center) gives a rectangle.
- Which figure results when you slice it diagonal to the base?
→ A diagonal cut (slanted) will give an ellipse or oval shape.
> ✔ Final Answer: Ellipse
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- What is the name of the solid?
→ Triangular pyramid or tetrahedron
- Which figure is the base of the solid?
→ The base is a triangle.
- How many faces does it have?
→ It has 4 triangular faces.
- Which figure results when you slice it parallel to the base?
→ A horizontal slice parallel to the base gives a smaller triangle (similar to the base).
- Which figure results when you slice it perpendicular to the base?
→ A vertical slice through the apex and base edge gives a triangle.
- Which figure results when you slice it diagonal to the base?
→ A diagonal slice (not through the apex or base edge) might yield a triangle or quadrilateral, but typically, slicing diagonally from side to side gives a triangle.
> ✔ Final Answer: Triangle
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- What is the name of the solid?
→ Pentagonal prism
- Which figure is the base of the solid?
→ The base is a pentagon.
- How many faces does it have?
→ A pentagonal prism has:
- 2 pentagonal bases
- 5 rectangular lateral faces
→ Total: 7 faces
- Which figure results when you slice it parallel to the base?
→ A horizontal slice gives a pentagon.
- Which figure results when you slice it perpendicular to the base?
→ A vertical slice (through the height) gives a rectangle.
- Which figure results when you slice it diagonal to the base?
→ A diagonal slice (at an angle) across the prism can give a parallelogram or trapezoid, but typically, it results in a parallelogram.
> ✔ Final Answer: Parallelogram
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- What is the name of the solid?
→ Rectangular prism
- Which figure is the base of the solid?
→ The base is a rectangle.
- How many faces does it have?
→ It has 6 faces (all rectangles).
- Which figure results when you slice it parallel to the base?
→ A horizontal slice gives a rectangle.
- Which figure results when you slice it perpendicular to the base?
→ A vertical slice (perpendicular to the base) gives a rectangle.
- Which figure results when you slice it diagonal to the base?
→ A diagonal cut (e.g., from one corner to the opposite) gives a rectangle or parallelogram, but often a parallelogram.
> ✔ Final Answer: Parallelogram
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- What is the name of the solid?
→ Square pyramid
- Which figure is the base of the solid?
→ The base is a square.
- How many faces does it have?
→ 1 square base + 4 triangular faces = 5 faces
- Which figure results when you slice it parallel to the base?
→ A horizontal slice gives a smaller square (similar to the base).
- Which figure results when you slice it perpendicular to the base?
→ A vertical slice through the apex and base center gives a triangle.
- Which figure results when you slice it diagonal to the base?
→ A diagonal slice (from side to side) can give a triangle or trapezoid, but typically, it yields a triangle.
> ✔ Final Answer: Triangle
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| Solid Figure | Name of Solid | Base Figure | Number of Faces | Slice Parallel to Base | Slice Perpendicular to Base | Slice Diagonal to Base |
|--------------|----------------|-------------|------------------|--------------------------|-------------------------------|-------------------------|
| Cube | Cube | Square | 6 | Square | Rectangle | Rectangle |
| Cylinder | Cylinder | Circle | 2 (flat) | Circle | Rectangle | Ellipse |
| Triangular Pyramid | Triangular Pyramid | Triangle | 4 | Triangle | Triangle | Triangle |
| Pentagonal Prism | Pentagonal Prism | Pentagon | 7 | Pentagon | Rectangle | Parallelogram |
| Rectangular Prism | Rectangular Prism | Rectangle | 6 | Rectangle | Rectangle | Parallelogram |
| Square Pyramid | Square Pyramid | Square | 5 | Square | Triangle | Triangle |
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✔ Note: For "faces", we are considering only flat surfaces unless otherwise specified. Curved surfaces (like in cylinder) are not counted as faces in standard geometry definitions.
Let me know if you'd like this filled out in a printable table format!
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1. Cube
- What is the name of the solid?
→ Cube
- Which figure is the base of the solid?
→ The base is a square.
- How many faces does it have?
→ A cube has 6 faces.
- Which figure results when you slice it parallel to the base?
→ Slicing parallel to the base (top or bottom) gives a square.
- Which figure results when you slice it perpendicular to the base?
→ A vertical slice (perpendicular to the base) through the center gives a rectangle (or square, if sliced along the axis).
- Which figure results when you slice it diagonal to the base?
→ A diagonal slice (not aligned with edges) can result in a rectangle or parallelogram, depending on angle. But typically, a diagonal cross-section through opposite corners forms a rectangle (possibly a square). In this case, since all edges are equal, it may form a square or rectangle — but most commonly, it's a rectangle.
> ✔ Final Answer: Rectangle
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2. Cylinder
- What is the name of the solid?
→ Cylinder
- Which figure is the base of the solid?
→ The base is a circle.
- How many faces does it have?
→ A cylinder has 3 faces: two circular bases and one curved surface. However, in some contexts, only flat surfaces are counted as "faces". So:
- If counting flat faces only, it has 2 faces.
- But since the question asks for “faces” and includes curved surfaces, we consider:
→ Typically, cylinders are said to have 2 faces (bases) and 1 curved surface, but faces usually refer to flat surfaces. So:
→ 2 faces (the top and bottom circles)
> ✔ Final Answer: 2 faces
- Which figure results when you slice it parallel to the base?
→ A horizontal cut (parallel to the base) gives a circle.
- Which figure results when you slice it perpendicular to the base?
→ A vertical cut (perpendicular to the base, through the center) gives a rectangle.
- Which figure results when you slice it diagonal to the base?
→ A diagonal cut (slanted) will give an ellipse or oval shape.
> ✔ Final Answer: Ellipse
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3. Triangular Pyramid (Tetrahedron)
- What is the name of the solid?
→ Triangular pyramid or tetrahedron
- Which figure is the base of the solid?
→ The base is a triangle.
- How many faces does it have?
→ It has 4 triangular faces.
- Which figure results when you slice it parallel to the base?
→ A horizontal slice parallel to the base gives a smaller triangle (similar to the base).
- Which figure results when you slice it perpendicular to the base?
→ A vertical slice through the apex and base edge gives a triangle.
- Which figure results when you slice it diagonal to the base?
→ A diagonal slice (not through the apex or base edge) might yield a triangle or quadrilateral, but typically, slicing diagonally from side to side gives a triangle.
> ✔ Final Answer: Triangle
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4. Pentagonal Prism
- What is the name of the solid?
→ Pentagonal prism
- Which figure is the base of the solid?
→ The base is a pentagon.
- How many faces does it have?
→ A pentagonal prism has:
- 2 pentagonal bases
- 5 rectangular lateral faces
→ Total: 7 faces
- Which figure results when you slice it parallel to the base?
→ A horizontal slice gives a pentagon.
- Which figure results when you slice it perpendicular to the base?
→ A vertical slice (through the height) gives a rectangle.
- Which figure results when you slice it diagonal to the base?
→ A diagonal slice (at an angle) across the prism can give a parallelogram or trapezoid, but typically, it results in a parallelogram.
> ✔ Final Answer: Parallelogram
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5. Rectangular Prism (Cuboid)
- What is the name of the solid?
→ Rectangular prism
- Which figure is the base of the solid?
→ The base is a rectangle.
- How many faces does it have?
→ It has 6 faces (all rectangles).
- Which figure results when you slice it parallel to the base?
→ A horizontal slice gives a rectangle.
- Which figure results when you slice it perpendicular to the base?
→ A vertical slice (perpendicular to the base) gives a rectangle.
- Which figure results when you slice it diagonal to the base?
→ A diagonal cut (e.g., from one corner to the opposite) gives a rectangle or parallelogram, but often a parallelogram.
> ✔ Final Answer: Parallelogram
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6. Square Pyramid
- What is the name of the solid?
→ Square pyramid
- Which figure is the base of the solid?
→ The base is a square.
- How many faces does it have?
→ 1 square base + 4 triangular faces = 5 faces
- Which figure results when you slice it parallel to the base?
→ A horizontal slice gives a smaller square (similar to the base).
- Which figure results when you slice it perpendicular to the base?
→ A vertical slice through the apex and base center gives a triangle.
- Which figure results when you slice it diagonal to the base?
→ A diagonal slice (from side to side) can give a triangle or trapezoid, but typically, it yields a triangle.
> ✔ Final Answer: Triangle
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✔ Final Table:
| Solid Figure | Name of Solid | Base Figure | Number of Faces | Slice Parallel to Base | Slice Perpendicular to Base | Slice Diagonal to Base |
|--------------|----------------|-------------|------------------|--------------------------|-------------------------------|-------------------------|
| Cube | Cube | Square | 6 | Square | Rectangle | Rectangle |
| Cylinder | Cylinder | Circle | 2 (flat) | Circle | Rectangle | Ellipse |
| Triangular Pyramid | Triangular Pyramid | Triangle | 4 | Triangle | Triangle | Triangle |
| Pentagonal Prism | Pentagonal Prism | Pentagon | 7 | Pentagon | Rectangle | Parallelogram |
| Rectangular Prism | Rectangular Prism | Rectangle | 6 | Rectangle | Rectangle | Parallelogram |
| Square Pyramid | Square Pyramid | Square | 5 | Square | Triangle | Triangle |
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✔ Note: For "faces", we are considering only flat surfaces unless otherwise specified. Curved surfaces (like in cylinder) are not counted as faces in standard geometry definitions.
Let me know if you'd like this filled out in a printable table format!
Parent Tip: Review the logic above to help your child master the concept of geometry cross sections worksheet.
