Aright pyramid with a regular hexagon base has a height of 3 units if a side of the hexagon is 6 units long, then the apothem is 3 units long the slant height is the hypotenuse of a right triangle formed with the apothem and the using the pythagorean theorem c- + b2 to find the slant height results in a slant height of units the lateral area issquare units

Part a) The slant height is

Part b) The lateral area is equal to

Step-by-step explanation:

we know that

The lateral area of a right pyramid with a regular hexagon base is equal to the area of its six triangular faces

so

where

b is the length side of the hexagon

l is the slant height of the pyramid

Part a) Find the slant height l

Applying the Pythagoras Theorem

where

h is the height of the pyramid

a is the apothem

we have

substitute

Part b) Find the lateral area

we have

substitute the values

x+14

step-by-step explanation:

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: