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Ganezh [65]
2 years ago
13

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.
Mathematics
1 answer:
STatiana [176]2 years ago
6 0

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

#SPJ4

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