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2 September, 08:42

A triangular pyramid has a base with an area of 7 square centimeters and lateral faces with bases of 4 centimeters. What is the surface area of the pyramid?

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  1. 2 September, 10:37
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    79cm

    Step-by-step explanation:

    I took the liberty of getting the complete question suce the one provided isn't and here it goes:

    a trianglular pyramid has a base with an area of 7 square centimeters

    and layeral faces with bases of 4 centimeters and height of 12

    centimeters. what is the surface area of the pyramid

    -- - All we need to do here is to add up the areas of the base and the lateral faces.

    Since we are dealing with a triangular pyramid there are 3 lateral faces.

    The area of the base is given as 7 square cm

    Each face is a triangle with base = 4 cm and height = 12 cm so

    each face has an area of

    A = (1/2) * base * height = (1/2) * 4 * 12 = 24 square cm

    There are 3 lateral faces so the total surface area is

    3x + 7 = 3 * 24 + 7 = 79 cm²
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