Question

What is the total surface area of a regular square based pyramid which has a slant height of 10 units and base side lengths of 6 units?
360 square inches
420 square inches
216 square inches
200 square inches.
168 square inches.

Answer 1

The total surface area of a regular square pyramid having slant height of 10units and base length of 6 units is 168 square inches which is fifth option.

Given that slant height is 10 units and base lengths of 6 units.

We are required to calculate total surface area of regular square pyramid.

We know that total surface area of regular square based pyramid is equal to $s^{2} +s\sqrt{s^{2} +4h^{2} }$ in which s is side of base length and h is slant height of regular square pyramid.

Total surface area=$6^{2} +6\sqrt{6^{2} +4*10^{2} }$

=36+6$\sqrt{36+400}$

=36+6$\sqrt{436}$

=36+6*20.88

=36+125.28

=161.28

Nearest option is 168 square inches.

Hence the total surface are of regular square based pyramid is option 5 which is 168 square inches.

Learn more about total surface area at brainly.com/question/26638955

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