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djverab [1.8K]
2 years ago
11

Dana is given the total surface area of a rectangular pyramid. She is asked for the lateral surface area. Describe how Dana can

use the given information to determine the lateral surface area.
Mathematics
1 answer:
irina [24]2 years ago
8 0

To get the lateral surface area, dana will subtract the two base area from the total surface area.

<h3>Total surface area of rectangular prism</h3>

The total surface area of a rectangular prism is the sum of the areas of all of the faces or surfaces that enclose the solid. Therefore,

  • 2lw + 2wh + 2lh

where

l = length

w = width

h = height

<h3>Lateral surface area of a rectangular prism</h3>

The lateral surface area of a rectangular prism is the surface area of the solid without the bases.

Therefore,

  • LA =  2 ( l + w ) h

Total surface area = Lateral surface area + 2 (Base Area)

Total surface area =  2 (l + w) h + 2 (l x w) = 2lh + 2wh + 2lw

Therefore,

Lateral surface area = Total surface area - 2 (Base Area)

To get the lateral surface area, dana will subtract the two base area from the total surface area.

learn more on rectangular pyramid here: brainly.com/question/3096481

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Have a nice day!

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