Answer:
2327.88
Step-by-step explanation:
Base area =
[tex] \frac{1}{2} \times a \times p[/tex]
where a = apothem = 4√3 and p = perimeter = 6 × 8 = 48
Therefore,
Base area =
[tex] \frac{1}{2} \times 4 \sqrt{3} \times 48 = 2 \sqrt{3} \times 48 = 96 \sqrt{3} [/tex]
Base area = 96√3
Hence,
Volume of the pyramid = Base area × height
= 96√3 × 14 = 1344√3
= 2327.8762
= 2327.88 to nearest hundredth
