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Lady bird [3.3K]
3 years ago
10

Which of the following equals the difference between the total surface area and base area of any three-dimensional figure?

Mathematics
2 answers:
ollegr [7]3 years ago
6 0
The answer choice is A...
Daniel [21]3 years ago
3 0

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

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Answer:

Step-by-step explanation:

Let L represent the length of the rectangular porch.

Let W represent the width of the rectangular porch.

The area of the rectangular porch is expressed as LW.

Bills new porch is rectangular with an area of 50 square feet. Therefore,

LW = 50 - - - - - - - - 1

if the length is two times the width, it means that

L = 2W

Substituting L = 2W into equation 1, it becomes

2W × W = 50

2W^2 = 50

W^2 = 50/2 = 25

W = √25 = 5

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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