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A right square pyramid has a height h and a base that is s units on each side. the slant height is twice the pyramid's height. which expression represents the surface area of the pyramid in terms of h?

User Mepler
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The answer to this question is:

A right square pyramid has a height h and a base that is s units on each side. the slant height is twice the pyramid's height. which expression represents the surface area of the pyramid in terms of h?"4hs + s^2"

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User Mwarning
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Answer:

surface area of the pyramid in terms of h
s^2+4hs

Explanation:

Surface area of pyramid(S) is given by:


S = \text{Base area}+\text{Lateral Area}

As per the statement:

A right square pyramid has a height h and a base that is s units on each side.

Base area of square =
s^2 square units.

It is also given that: the slant height is twice the pyramid's height


\text{Slant height} = 2h


\text{Lateral area} = (1)/(2) \text{Perimeter of the base} * \text{Slant height}

Substitute the given values we have;


\text{Lateral area} = (1)/(2)(4s)(2h) = 4sh

then:

Surface area of pyramid is:


S = s^2+4hs where s is the side and h is the height of the pyramid.

Therefore, surface area of the pyramid in terms of h
s^2+4hs

User Anjan Biswas
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