Question

Which expression can be used to find the surface area of the following square pyramid

Answer 1

Its Option C

Explanation:

Answer 2

`36+15+15+15+15`

Explanation:

For the surface area we need to add up all the areas in the pyramid:

• area of the base

• area of the triangle sides (there are 4 triangles)

Area of the base:

the base is a square, and the area of a square is given by:

`a_(base)=l^2`

where
`l` is the length of the side:
`l=6`, thus:

`a_(base)=(6)^2\\a_(base)=36`

Area of the triangles:

one triangle has the area given by the formula:

`a_(triangle)=(b*h)/(2)`

where
`b` is the base of the triangle:
`b=6`

and
`h` is the height of the triangle:
`h=5`, thus we have the following:

`a_(triangle)=(6*5)/(2) \\\\a_(triangle)=(30)/(2) \\\\a_(triangle)=15`

the expression that represents the surface area of the pyramid is:

`a_(base)+area_(triangle)+area_(triangle)+area_(triangle)+area_(triangle)`

substituting our values:

`36+15+15+15+15`

which is option B