Question

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

Answer 1

Question :-

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

Given :-

• Diameter of cylinder = 1cm

• height = 7cm

• Side of cube = 7 cm

To find :-

• Which box has larger lateral surface area?

Solution :-

The two figures given are cylinder and cube.

Both figures have same height.

__________

• Cylinder: d = 1 cm, h = 7 cm

• Cube: side= 7 cm

Both of the figures are different in shapes.

Lateral surface of cylinder

= 2πrh

= 2 × $\dfrac{22}{7}$ × $\dfrac{7}{2}$ × 7

= 154 ${cm}^{2}$

__________

Lateral surface of the cube

= ${(4l)}^{2}$

= 4 × ${(7)}^{2}$

= 4 × 49

= 196

So, cube has the larger lateral surface = 196${cm}^{2}$