Triangular prism
length of slanted side:
sqrt(3^2 + 4^2) = 5
SA = 2(1/2)(8)(3) + 8(12) + 2(5)(12) =240
V = (1/2)(8)(3)(12) = 144
cuboid
SA = 2(7x6) + 2(7x5) + 2(6x5) = 214
V = 7x6x5 = 210
The formula for the area of a sector in radians is
, where theta is the angle in radians. For us, the formula looks like this:
. Doing all the multiplication on that gives us
. Multiplying in pi and rounding to the nearest tenth gives us an area of 76.3 meters squared. You can use the formula for the area of a sector with the angle in degrees as well. Just replace the 360 degrees with 2pi and it works the exact same way.
If you use metric conversion (shown below), you will find that 9 meters = 90 cm. Tell me if you need further explanation.