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

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Solution

Similarity between both the figures is that both have the same heights.

The difference between the two figures is that one is a cylinder and the other is a cube.

Lateral surface area of the cube = 4l² = 4 (7 cm)² = 196 cm²

Lateral surface area of the cylinder = 2πrh cm² = 154 cm²

Hence, the cube has larger lateral surface area.

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Similar questions

A cubical box has each edge $10 c m$ and another cuboidal box is $12.5 c m$ long, $10 c m$ wide and $8 c m$ high.

(i) Which box has the greater lateral surface area and by how much?

(ii) Which box has the smaller total surface area and by how much?

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