Question

Describe how the two figures below are alike and how they are different. Which box has larger lateral surface areas?

Answer 1

Surface area: Surface area is the amount of space covering the outside of a three-dimensional shape.

As from figure it is clear that

Diameter of cylinder $=7cm$

Radius of cylinder $\left(r\right)=\frac{7}{2}cm$

Height of cylinder $\left(h\right)=7cm$ Also,

Dimension of cube is of $=7cm$

i.e Both figures have the same heights.

Firstly Lateral surface area of cube $=4\times {\left(side\right)}^2=4\times 7\times 7=196sqcm$

Also lateral surface area of cylinder =$2\pi rh=2\times \frac{22}{7}\times \frac{7}{2}\times 7=154sqcm$
As we can see CSA of Cylinder is $154c{m}^2$ and Lateral surface area of the Cube is $196c{m}^2$

Hence, a cube has a larger surface area.