#### Question

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

#### 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 = 4*l*^{2} = 4 (7 cm)^{2} = 196 cm^{2}

Lateral surface area of the cylinder = 2π*rh* = `(2 xx 22/7 xx 7/2 xx 7) cm^2` = 154 cm^{2}

Hence, the cube has larger lateral surface area.

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Solution Describe How the Two Figures at the Right Are Alike and How They Are Different. Which Box Has Larger Lateral Surface Area? Concept: Surface Area and Volume of Cube, Cuboid and Cylinder - Concept of Cube.