232k views
0 votes
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
by
7.9k points

2 Answers

1 vote
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"

Hope this helped, Kemp9818
Your welcome :)
User Mwarning
by
8.7k points
4 votes

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
by
9.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories