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ahrayia [7]
3 years ago
8

Use the net to find the surface area of the regular pyramid. mm2

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
3 0

Answer:

A_{S} = \frac{p_{b}}{2}\cdot (l_{b}+l)

Step-by-step explanation:

The surface area of the regular pyramid is equal to the sum of the base and lateral areas:

A_{S} = A_{b} + A_{l}

Where the base area is equal to:

A_{b} = \frac{p_{b}\cdot l_{b}}{2}

In which p_{b} and l_{b} are the base perimeter and slant, respectively.

And the lateral area is:

A_{l} = \frac{p_{b}\cdot l}{2}

Where l is the side slant.

By substituting and simplifying the expression, the formula of the surface area for a regular pyramid is found:

A_{S} = \frac{p_{b}\cdot l_{b}}{2}+\frac{p_{b}\cdot l}{2}

A_{S} = \frac{p_{b}}{2}\cdot (l_{b}+l)

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