A right rectangular pyramid has an altitude of 22.3 inches, a length of 6.75 inches, and a width of 10.25 inches. What is the volume of the pyramid in cubic inches?(1 point)
Pls help I legit cannot find the answer!!
The volume of a right rectangular pyramid can be found using the formula: Volume = (1/3) * base area * height.
In this case, the base area is equal to the length multiplied by the width: Base area = 6.75 inches * 10.25 inches.
Substituting the given values into the equation:
Volume = (1/3) * (6.75 inches * 10.25 inches) * 22.3 inches.
Calculating the values:
Base area = 69.1875 square inches,
Volume = (1/3) * 69.1875 square inches * 22.3 inches.
Volume = 515.153125 cubic inches.
Therefore, the volume of the pyramid is 515.153125 cubic inches.
Are you sure? I seriously don't know the answer so are you really sure? ╥﹏╥
Apologies for any confusion caused earlier. Let's re-calculate the volume of the pyramid with the correct formula.
The formula for the volume of a pyramid is: Volume = (1/3) * base area * height.
Given:
Altitude = 22.3 inches
Length = 6.75 inches
Width = 10.25 inches
To calculate the volume, we first need to find the base area, which is the area of the rectangle formed by the length and width.
Base area = Length * Width = 6.75 inches * 10.25 inches = 69.1875 square inches
Now, substituting the values into the volume formula:
Volume = (1/3) * base area * height
= (1/3) * 69.1875 square inches * 22.3 inches
= 510.083125 cubic inches
Therefore, the volume of the pyramid is 510.083125 cubic inches.