## Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct pos

Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag

the item to the trashcan. Click the trashcan to clear all your answers.

A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.

T.A.=

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Math
3 weeks
2021-11-10T16:49:35+00:00
2021-11-10T16:49:35+00:00 2 Answers
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## Answers ( )

Answer:Step-by-step explanation:(3a2-b)(3a2+b) are the factor

Answer:72 + 36 square root 3

Step-by-step explanation:equation for whole thing : LA + area of basefirst need to find lateral area = sum of all lateral faces

to find 1 lateral face (1/2)(slant height)(side)

Given both (1/2)(6)(4) = 12

do times 6 = 12 times 6 = 72

that is your lateral area

Now need to fine area of hexagon

area of polygon = (1/2)( apothem)(perimeter)

perimeter = 4 times 6 = 24

For apothem need to find other sides of half triangle in midle which is a 30-60-90 triangle so short leg = 1/2 hypotenuse which given so 1/2 6 = 3

long leg = short times square root of 3 = 3 square root 3

that is apothom so (1/2)(3 square root 3)(24)= 36 square root 3

Put together to get 72 + 36 square root 3