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1 year ago

Identify the lateral area and surface area of a regular triangular pyramid with base edge length 6 cm and slant height 13 cm.

Mathematics

1 answer:

Law Incorporation [45]1 year ago

6 0

The lateral area is 117 square centimeters and the surface area is 292.72 square centimeters

<h3>How to determine the lateral area?</h3>

The given parameters are:

Base length (b) = 6
Slant height (l) = 13

The lateral area is calculated using:

Lateral = 0.5 * (Perimeter of base) * Slant height

This gives

Lateral = 0.5 * (3 * 6) * 13

Evaluate

Lateral = 117

Hence, the lateral area is 117 square centimeters

<h3>How to determine the surface area?</h3>

The surface area is calculated using:

Surface = l²√3

This gives

Surface = 13² * √3

Evaluate

Surface = 292.72

Hence, the surface area is 292.72 square centimeters

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