Ex 11.3, 6 Describe how the two figures at the right are alike and how they are different. Which box has larger lateral surface area?
Similarity
Both the figures have same length (= 7 cm) and same height (= 7 cm)
Difference
Figure (a) has circular bottom and top
& Figure (b) has square bottom and top.
Figure (a) is a cylinder and Figure (b) is a cube.
Figure (a) is a cylinder and Figure (b) is a cube.
We also need to find which box has larger surface area
Lateral Surface Area of Cylinder
Radius = r = 7/2 cm
Height = h = 7 cm
Lateral surface area of cylinder = 2𝜋𝑟ℎ
= 2×22/7×7/2×7
= 22 × 7
= 154 cm2
Lateral Surface Area of Cube
Side of cube = 7 cm
Lateral surface area of cube = 4(Side)2
= 4 × 72
= 4 × 49
= 196 cm2
So, Cube has larger lateral surface area

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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