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## A square pyramid has a base with a side length of 6 inches and lateral faces with heights of 11 inches. What is the surface area of the pyra

Question

A square pyramid has a base with a side length of 6 inches and lateral faces with heights of 11 inches. What is the surface area of the pyramid?

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Mathematics
3 years
2021-07-27T22:19:36+00:00
2021-07-27T22:19:36+00:00 2 Answers
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## Answers ( )

Answer:SA = 168 in.²

Step-by-step explanation:The surface area is the sum of the area of the base and the areas of the 4 congruent triangular sides.

s = side of the base

h = height of each side

SA = s² + 4(sh/2)

SA = (6 in.)² + 4(6 in.)(11 in.)/2

SA = 36 in.² + 132 in.²

SA = 168 in.²

Answer:Step-by-step explanation:Surface area of the base:= Length * Length

= 6 * 6

= 36 in.²

Surface Area of 1 Lateral Face:=

Base = 6 inches

Height = 11 inches

= 1/2 (6*11)

= 3 * 11

= 33 in.²

Surface Area of 4 lateral faces:= 33 * 4

= 132 in.²

Surface Area of the whole pyramid:= 132 + 36

=

168 in.²Hope this helped!

## ~AH1807