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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

User Stamis
by
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2 Answers

4 votes
The answer choice is A...
4 votes

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

User Milind Dumbare
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