Which of the following equals the difference between the total surface area and base area of any three-dimensional figure?
a. slant height
b. perimeter
c. lateral area
d. altitude

Answer with explanation:

I will illustrate this with the help of few three dimensional shapes.

1. Cylinder

Total Surface area of Cylinder =2π r h + 2 π r²

Base Area= π r² + π r²=2 π r²

Difference between Total surface Area and Base area

       =2π r h + 2 π r²- 2 π r²

      = 2π r h →→Lateral surface area of cylinder

2. Cone

Total Surface area of Cylinder =π r² + π r l

Base Area= π r²

Difference between Total surface Area and Base area

 =π r² + π r l - π r²

= π r l →→Lateral surface Area

In General

→→Total Surface Area of any three dimensional shape= Area of Base + Lateral Surface Area

→Lateral Surface Area=Total Surface Area of any three dimensional shape - Area of Base

≡So, for any three dimensional shape, the difference between the total surface area and base area of any three-dimensional figure is equal to

→→C: Lateral Area