Answer:
7.06 x 10^(-7) ft 3
Explanation:
We have the formula to calculate the volume of an octagonal Pyraamid as following:
+) Volume of octagonal pyramid = 1/3 * Area of the base * Height
As given, the base of the pyramid is an octagon with area equal to 15mm2
=> Area of the base = 15 mm2
The height of the pyramid is the length of the line segment which is perpendicular to the base - which is the red line.
=> Height = 4mm
So we have:
Volume of octagonal pyramid = 1/3 * Area of the base * Height
= 1/3 * 15 * 4 = 20 mm3
As: 1 mm3 = 3.53 x 10^(-8) ft 3
=> 20 mm3 = 7.06x10^(-7) ft 3
So the volume of the pyramid is : 7.06 x 10^(-7) ft 3