Surface Area Of Cube, Cuboid And Cylinder
Chapter Name : Mensuration |
Sub Topic Code : 104_08_11_06_01 |
Topic Name : Surface Area Of Cube, Cuboid And Cylinder |
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Sub Topic Name : Cuboid |
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Introduction
If a cube, cuboid & cylinder were painted, which one took more paint?
Pre-Requisites:
About different solids- namely Cube, cuboid & Cylinder and their importance
Activity:
Take a brick from a construction site. The standard dimensions of it are 20 x 10 x 10. Calculate its lateral surface area, total surface area
Real Life Question:
What is the total area of the box that was wrapped?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Lateral Surface Area | Area of the cuboid excluding the top & base |
| Total Surface Area | Total area of the cuboid including top & base |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Empty Tissue paper Box | You know the formula of area of rectangle. Also, cuboid is made up of rectangles. Using this knowledge, calculate the dimensions of the cuboid using scale and then compute the lateral surface & total surface area. |
Real life uses :
A Cuboid is a rectangular solid and most of the food containers are cuboids. Come to think of it, regular shaped apartments are also cuboids. Many overhead tanks are cuboids. While using them in any way, their lateral & total surface area will be required.
Places to visit :
Construction site, Grocery stores
Practical examples around us
| Examples | Explainations |
|---|---|
| Cereal Box | Any cereal box is cuboid shaped. The inside portion is grey. The total grey portion contributes to the lateral surface area. Sum this up with colored portion area and you get the total Surface Area |
What you learn in Theory:
Lateral Surface Area of a cuboid = 2h (l + b), Total Surface Area of a cuboid = lb + bh + hl
What you learn in Practice:
Total surface area would be used if even the covers are considered.