Shape No. of faces No. of vertices No. of edges Cube Triangular Prism Square Pyramid Cuboid Verify Euler's formula for the data in the table.

We need to fill the table for the given shapes. Shape No. of faces. No. of vertices No. of edges Cube 6 8 12 Triangular Prism 5 6 9 Square Pyramid 5 5 8 Cuboid 6 8 12 According to Euler's formula, we have, F + V = E + 2 , where F is the number of faces, V the number of vertices, and E the number of edges. For Cube: 6 + 8 = 12 + 2 14 = 14 For Triangular prism: 5 + 6 = 9 + 2 11 = 11 For Square Pyramid: 5 + 5 = 8 + 2 10 = 10 For Cuboid: 6 + 8 = 12 + 2 14 = 14

Give examples for each shape in the table S.No. Sphere Cylinder Cube Cone 1 2 3

Some examples of the shapes are: S.No. Sphere Cylinder Cube Cone 1 Ball Pipe Ice Funnel 2 Orange Battery Dice Christmas Tree 3 Earth Candle Rubik Cube Waffle Cone

Look at the adjacent figure and answer the questions. Write the pairs of adjacent sides and adjacent angles.

From the given figure, Two sides of a quadrilateral which have a common end point are called its adjacent sides. In the given figure, E F , G F , F G , H G , H G , H E , E H , E F are four pairs of adjacent sides of quadrilateral E F G H . Two angles of a quadrilateral are called adjacent angles, if they have a common side as an arm has four adjacent angles. So, the angles are ∠ H E F , ∠ E F G , ∠ F G H , ∠ G H E