97.0k views
5 votes
What is the slant height and surface area of the pyramid

What is the slant height and surface area of the pyramid-example-1
User Vijiy
by
6.3k points

1 Answer

5 votes

we have that

The surface area of the pyramid is equal to the area of its square base plus the area of its four triangular faces

step 1

Find out the area of the square base

A=15^2

A=225 ft2

step 2

Find out the area of one triangular face

the area of a triangle is equal to

A=(1/2)(b)(h)

we have

b=15 ft

h ----> is the slant height

To find out the slant height, apply the Pythagorean Theorem

h^2=10^2+(15/2)^2

h^2=100+56.25

h=12.5 ft

therefore

A=(1/2)(15)(12.5)

A=93.75 ft2

step 3

The surface area is equal to

SA=225+4(93.75)

SA=600 ft2 and the slant height is 12.5 ft

User Alee
by
6.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.