Describe how the two figure at the right are alike and how they are the different. Which book has a larger lateral surface area??✌✌☝☝
Answers
Answer:
Surface area:
The surface area of a solid is the sum of the areas of the plane or curved faces of the solid.
It is measured in square units such as square centimetre (cm²) and square metre (m²).
Surface area of cube is the sum of the surface areas of its six rectangular faces.
Surface Area of Cube is = 6a²
By surface area of a cube we mean the total surface area.
The sum of the areas of 4 vertical faces of a cube is called its lateral surface area.
The lateral surface area of the cube= 4a²
Cylinder:
Whenever we talk about a total surface area of a cylinder the cylinder must be closed at both the ends by two circular regions or it should be a cylindrical solid object.
Total surface area of a solid cylinder= curved surface area + sum of the areas of two circular ends of the cylinder
= 2πrh+ 2πr²
Total surface area of a solid cylinder= 2πr(h+r)
The lateral surface area of the curved surface area of a cylinder= 2πrh
=========================================================
Solution:
Both the figure have same height & one figure is cube & the other one is cylinder.
Given: Diameter of cylinder = 7 cm
Radius of cylinder (r)= 7/2 cm
Height of cylinder(h) = 7 cm
Side of CUBE(a)= 7 cm
Lateral surface area of cylinder = 2πrh
= 2(22/7)(7/2)(7)
= 22× 7
= 154 cm²
Lateral surface area of cylinder = 154 cm²
Lateral surface area of cube= 4 a²
= 4 ×(7)²
= 4× 49
= 196 cm²
Lateral surface area of cube= 196 cm²
Hence, the cube has larger lateral surface area.
Read more on Brainly.in - https://brainly.in/question/1484822#readmore
● BOTH OF THEM ARE ALIKE BECAUSE THEY HAVE SAME HEIGHT.
● THEY ARE DIFFERENT BECAUSE ONE OF THEM IS CYLINDER AND ANOTHER ONE IS CUBE.
◆LETRAL SURFACE AREA OF CYLINDER
= 2πrh
= 2 × 22/7 × 3.5 × 7
= 2 × 22 × 3.5
= 154 sq. cm
◆LETRAL SURFACE AREA OF CUBE
= 4h^2
= 4 × 7 × 7
= 196 sq. cm