Let's identify each solid figure shown in the image. Below is a detailed explanation and identification of each shape:
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1)
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Shape: A pyramid with a triangular base.
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Type: Triangular Pyramid (also known as a
Tetrahedron)
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Explanation: It has 4 triangular faces, 4 vertices, and 6 edges.
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2)
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Shape: A prism with two parallel trapezoidal bases and rectangular lateral faces.
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Type: Trapezoidal Prism
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Explanation: The bases are trapezoids, and the sides are rectangles (or parallelograms), making it a prism.
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3)
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Shape: A cube-like figure with all faces being squares.
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Type: Cube
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Explanation: All six faces are equal squares; it’s a special type of rectangular prism.
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4)
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Shape: A pyramid with a square base and four triangular faces.
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Type: Square Pyramid
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Explanation: One square base and four triangular faces meeting at an apex.
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5)
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Shape: A pyramid with a triangular base and three triangular faces.
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Type: Triangular Pyramid (same as #1, but drawn differently)
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Explanation: Also called a
tetrahedron, all faces are triangles.
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6)
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Shape: A prism with pentagonal bases and rectangular sides.
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Type: Pentagonal Prism
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Explanation: Two congruent pentagons connected by rectangles.
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7)
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Shape: A perfectly round 3D object.
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Type: Sphere
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Explanation: All points on the surface are equidistant from the center.
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8)
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Shape: A pyramid with a rectangular base and four triangular faces.
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Type: Rectangular Pyramid
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Explanation: Base is a rectangle; the other four faces are triangles converging to a point.
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9)
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Shape: A cone with a circular base and a curved surface tapering to a point.
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Type: Cone
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Explanation: One circular base and one vertex (apex).
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10)
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Shape: A cylinder with two circular bases and a curved surface.
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Type: Cylinder
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Explanation: Two parallel circles connected by a curved surface.
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11)
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Shape: A box-like figure with rectangular faces, but not necessarily all equal.
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Type: Rectangular Prism (or
Cuboid)
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Explanation: Six rectangular faces; opposite faces are congruent.
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12)
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Shape: A prism with a right-angled triangular cross-section.
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Type: Triangular Prism
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Explanation: Two triangular bases and three rectangular lateral faces.
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Final Answers:
1) Triangular Pyramid
2) Trapezoidal Prism
3) Cube
4) Square Pyramid
5) Triangular Pyramid
6) Pentagonal Prism
7) Sphere
8) Rectangular Pyramid
9) Cone
10) Cylinder
11) Rectangular Prism
12) Triangular Prism
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✔ These are the correct names for each solid figure based on their geometric properties. Let me know if you'd like a printable version or further explanations!
Parent Tip: Review the logic above to help your child master the concept of polyhedron worksheet.
