Question

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

Answer 1

Answer:

$36+15+15+15+15$

Step-by-step 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:

$a_{triangle}=\frac{b*h}{2}$

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:

$a_{triangle}=\frac{6*5}{2} \\\\a_{triangle}=\frac{30}{2} \\\\a_{triangle}=15$

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

Answer 2

Answer:

Its Option C

Step-by-step explanation: