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tester [92]
3 years ago
6

A right pyramid with a square base has a base edge length of 12 meters and slant height of 6 meters.

Mathematics
2 answers:
storchak [24]3 years ago
8 0

Answer:apothem is 6

Hypotenuse of triangle is slant height

Height is 6

Volume of pyramid is 288

Step-by-step explanation:

Dovator [93]3 years ago
6 0

Answer:

Step-by-step explanation:

Square base of the base edge = 12 meters and slant height = 6√2 meters

Apothem of the right pyramid will be = AC

1). Now AC = \sqrt{AB^{2}-BC^{2}}

AC = \sqrt{(6\sqrt{2})^{2}-(6)^{2}}

     = \sqrt{72-36}=\sqrt{36}

     = 6

Now Apothem = 6 meters

2). Hypotenuse of Δ ABC = AB = 6√2 meters

3). Height AC = 6 meters

4). Volume of the pyramid = \frac{1}{3}(\text{Area of the base})(\text{Apothem})

Volume = \frac{1}{3}(12)^{2}(6)

             = 2×144

             = 288 meter²

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