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

Answer:

Both figures have the same heights.

Lateral surface area of cube  =4×side  

2

=4×7×7=196 sq cm

lateral surface area of cylinder =2.πr.h=2×  

7

22

​  

×  

2

7

​  

×7=154 sq cm

So, a cube has a larger surface are

Step-by-step explanation:

Answer 2

Solution:

The two figures given are cylinder and cube.

Both figures are alike in respect of their same height.

Cylinder: d = 1 cm, h = 7 cm

Cube: Length of each side a = 7 cm

Both of the figures are different in respect of their shapes.

Lateral surface of cylinder = 2πrh

= 2 × 227 × 72 × 7 = 154 cm2

Lateral surface of the cube = 4l2 = 4 × (7)2 = 4 × 49 = 196

So, cube has the larger lateral surface = 196 cm2.

Hope it helps you❤