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Question:

Describe how the two figures at the right are alike and how they are different. Which box has a larger lateral surface area?

Solution:

Both figures have the same heights.
Lateral surface area of cube = 4 × side² = 4 × 7 × 7 = 196 sq cm
Lateral surface area of cylinder = 2 × πr × h = 2 × 22/7 × 7/2 × 7 = 154 sq cm
So, a cube has a larger surface area.