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Rashid [163]
3 years ago
6

A hexagonal prism 6 ft tall with a regular base measuring 9 ft on each edge and an apothem of length 7.8 ft. How do I get the la

teral and total surface area, rounding it to the nearest tenth if necessary?
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
8 0
Given:

Hexagonal Prism dimensions: 

Altitude = 6 ft
Regular base;
side = 9 ft
apothem = 7.8 ft

The formula for the lateral surface area of a prism is

LA = P * h

where 
LA is the lateral surface area
P is the perimeter of the base
h is the height of the prism

LA = (9 ft * 6 sides) * 6 ft
LA = 324 ft^2

The formula for total surface area is 

TA = (P * h) + 2(Ab) 

where 
TA is the total surface area
Ab = Area of the base

Ab = a * P / 2
Ab = 7.8 ft * (9ft * 6) / 2
Ab = 210.6 ft^2

TA = 324 + 2(210.6)
TA = 745.2 ft^2
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Answer:

3

5

÷

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=

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8

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

(

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(

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⋅

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⋅

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