Question

Find the surface area of a square pyramid with side length 6 cm and slant height 5 cm.

Answer 1

The surface area of the square pyramid is 96 sq. mi.

Given:

side length (s) = 6 mi

slant height (l) = 5 mi

*image of a typical square pyramid is shown in the attachment below.

Recall:

Formula for surface area of square pyramid (SA) = $A+\frac{1}{2}Pl$

Where,

$A=$ area of the base = $s^2=6^2=36$ sq mi

$P=$ perimeter of the base = $4(s)=4*6=24$  mi

$l=$ slant height = 5 mi

Plug in the values

$SA=36+\frac{1}{2} *24*5$

$SA=36+60$

$SA=96$

The surface area(SA) of the square pyramid is 96 sq. mi

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