What is the surface area of an equilateral triangular pyramid with base side length of 9 cm, base height of 7.8cm, and slant height of 11.3 cm? Round your answer to the nearest tenth. 315.5 cm O 194.5 cm 185.3 cm
What is the surface area of an equilateral triangular pyramid with base side length of 9 cm, base height of 7.8cm, and slant height of 11.3 cm? Round your answer to the nearest tenth. 315.5 cm O 194.5 cm 185.3 cm
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 38A: Three pieces, each in the shape of a sector, are cut from the rectangular sheet of steel shown. How...
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Transcribed Image Text:What is the surface area of an equilateral triangular pyramid with base side length of 9 cm, base height of 7.8cm, and slant height of
11.3 cm? Round your answer to the nearest tenth.
O 315.5 cm?
O 194.5 cm?
O 185.3 cm?
O 187.7 cm?
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Expert Solution
Step 1
This is a Equilateral triangular pyramid . That means we need to use the area formula for triangles to find B.
First, calculate the area of the base and the perimeter.
So, B =
=
= 35.1
The sides of the base are all the same length, so we can calculate the perimeter by multiplying
9 × 3 = 27.
Next, put the values into the formula for surface area of a pyramid and multiply the values together inside the brackets:
Surface area =
=
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