1 answer
(click or scroll down)
To calculate the volume of the rectangular pyramid, we use the formula:
V = 1/3 * base area * height
The base area of the pyramid is calculated as the product of the two sides of the base: 12 m * 12 m = 144 m^2
The height of the pyramid can be calculated using the Pythagorean theorem, since we have a right angled triangle with sides 10 m, 11.66 m and the height.
Using the Pythagorean theorem, we have:
height^2 = (11.66 m)^2 - (10 m)^2
height = √(11.66^2 - 10^2)
height = √(136.1956 - 100)
height = √36.1956
height ≈ 6.02 m
Now we substitute these values into the volume formula:
V = 1/3 * 144 m^2 * 6.02 m
V ≈ 288 m^3
Therefore, the volume of the rectangular pyramid is approximately 288 cubic meters. However, none of the answer options provided match this calculation.