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Murljashka [212]
4 years ago
10

The base of a regular pyramid is a hexagon.

Mathematics
2 answers:
dedylja [7]4 years ago
6 0

Answer:

96sqrt(3)

Step-by-step explanation:

Simplest and most intuitive way is to find area of 1 triangles and multiply it by 6.

Area of one triangle:

base = 8 and a = 4sqrt(3)

Area of 1 trangle = ba/2

Area of base of hexagon = 6 times that.

FrozenT [24]4 years ago
6 0

<u>Answer:</u>

72\sqrt{3} cm^2

<u>Step-by-step explanation:</u>

We are given that the base of a regular pyramid is a hexagon and we are to find the area of the base (which is a hexagon).

We know that the formula for the area of hexagon is given by:

A = \frac { 3 \sqrt { 3 } } { 2 } a^2

We are to find the value of a to find this area.

Finding a:

sin 60=\frac{a}{8}

a=6.92

Substituting this value of a in the above formula to get:

Area of the base (hexagon) = \frac { 3 \sqrt { 3 } } { 2 } \times 48 (6.92)^2 = 72\sqrt{3} cm^2

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