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Question

Mathematics Question on Surface Area of Cube, Cuboid and Cylinder

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

Answer

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= 2\pi rh
=(2×227×72×7)=(2\times\frac{22}{7}\times \frac{7}{2}\times7) cm2
= 154 cm2
Hence, the cube has larger lateral surface area.