Question

Two identical square pyramids were joined at their bases to form the composite figure below. 2 square pyramids have a base of 24 centimeters by 24 centimeters. The triangular sides have a height of 5 centimeters. [Not drawn to scale] Which expression represents the total surface area, in square centimeters, of the figure? 8 (one-half (24) (5)) 8 (one-half (24) (13)) (24) (24) + 8 (one-half (24) (5)) (24) (24) + 8 (one-half (24) (13))

Answer 1

Answer:

A

Step-by-step explanation:

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Answer 2

Answer:

$8[\frac{1}{2}(24)(5)]$ cm²

Step-by-step explanation:

Surface area of the composite figure = Surface area of the lateral surfaces of the given pyramids

Lateral surface area of a square pyramid = 4

Therefore, lateral surface area of the pyramid

= $4[\frac{1}{2}(24)(5)]$

Now lateral surface area of the composite figure = 2(lateral surface area of two pyramids)

= $8[\frac{1}{2}(24)(5)]$

Therefore, Expression for the surface area of the given composite figure is,

$8[\frac{1}{2}(24)(5)]$ cm²