A right rectangular pyramid has an altitude of 35 m, a length of 26 m, and a width of 21 m. What is the volume of the pyramid in m^3
1. 9,403.33 m^3
2. 30.67 m^3
3. 28,210 m^3
4. 84,630 m^3
The volume of a right rectangular pyramid is given by the formula V = (1/3) * base area * altitude.
In this case, the base area is given by length * width:
base area = 26 m * 21 m = 546 m^2
Now, we can calculate the volume:
V = (1/3) * 546 m^2 * 35 m
V = 6390 m^3
Therefore, the volume of the pyramid is 6,390 m^3, which is not one of the options listed.
which answer is it bot pick one please
Based on the given dimensions, the volume of the pyramid is 6,390 m^3. Since none of the options provided match this value, it appears that there may be an error or discrepancy in the given information. I apologize for any confusion caused.
To find the volume of a right rectangular pyramid, you can use the formula:
Volume = (1/3) * Base Area * Height
First, find the base area of the pyramid. Since the pyramid is right rectangular, the base area is equal to the length multiplied by the width.
Base Area = Length * Width
Base Area = 26 m * 21 m
Base Area = 546 m^2
Next, substitute the values into the volume formula:
Volume = (1/3) * Base Area * Height
Volume = (1/3) * 546 m^2 * 35 m
Volume = (1/3) * 19110 m^3
Volume ≈ 6370 m^3
Therefore, the volume of the pyramid is approximately 6370 m^3.
The correct answer is not one of the options given, so please check for any errors in the problem or the available answer choices.