Make a project on the nets of the following shapes; also verify the Euler’s formula for each shape.
(a) Triangular Prism
Answers
Answer: (a). The nets of the triangular prism consist of rectangles and triangles. The Euler's formula of a triangular prism is (5+6-9=2)
(b). The nets of the cube consist of squares. The Euler's formula of a triangular prism is 12-30+20 =2)
(c). The nets of the cylinder consist of circles and rectangles. The cylinder is not polyhedron therefore the Euler's formula doesn't work for it.
(d). The nets of the tetrahedron consist of triangles. The Euler's formula of the tetrahedron is (4+6-4=2)
(e). The nets of the pentagonal prism consist of rectangles and pentagons. Euler's formula of a triangular prism is (10-15+7=2).
Step-by-step explanation:
The nets of the solid figure are the two-dimensional pattern coming out from the solid figure folded along its edges and faces.
Euler's formula states that for any polyhedron, the sum of the number of faces and number of vertices minus the number of edges must be 2.
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Answer:
Answer: (a).The nets of the triangular prism consists of rectangles and triangles. The Euler's formula of triangular prism is (5+6-9=2)
Step-by-step explanation:
The nets of the solid figure are the two dimensional pattern coming out from the solid figure folded along its edges and faces.
Euler's formula states that for any polyhedron, the sum of number of faces and number of vertices minus the number of edges must be 2.