Question
a right rectangular pyramid has an altitude of 35 m, a length of 26 m, and a width of 31 m. what is the volume of the pyramid?
a. 28, 210 m^3
b. 30.67 m^3
c. 9,403.33 m^3
d. 84,630 m^3
a. 28, 210 m^3
b. 30.67 m^3
c. 9,403.33 m^3
d. 84,630 m^3
Answers
GPT 3.5
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, which is the area of the rectangle base:
Base area = length * width
Base area = 26 m * 31 m
Base area = 806 m^2
Now, plug in the known values into the formula:
Volume = (1/3) * 806 m^2 * 35 m
Volume = (1/3) * 28110 m^3
Volume = 9370 m^3
Therefore, the volume of the pyramid is approximately 9,370 m^3, which is closest to option c. 9,403.33 m^3.
Volume = (1/3) * base area * height
First, find the base area of the pyramid, which is the area of the rectangle base:
Base area = length * width
Base area = 26 m * 31 m
Base area = 806 m^2
Now, plug in the known values into the formula:
Volume = (1/3) * 806 m^2 * 35 m
Volume = (1/3) * 28110 m^3
Volume = 9370 m^3
Therefore, the volume of the pyramid is approximately 9,370 m^3, which is closest to option c. 9,403.33 m^3.