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) in.3
514.29
The volume of a right rectangular pyramid can be found using the formula V = (1/3) * base area * height.
The base area of the pyramid is given by the formula A = length * width.
Substituting the given values, we have A = 6.75 inches * 10.25 inches = 69.1875 square inches.
Now, substituting the values of the base area and height into the formula for the volume, we have V = (1/3) * 69.1875 square inches * 22.3 inches.
Simplifying this expression, we get V = 520.88062 cubic inches.
Therefore, the volume of the pyramid is approximately 520.88062 cubic inches.
wrong
I apologize for the mistake. Let's correct that.
The volume of a rectangular pyramid can be found using the formula V = (1/3) * base area * height.
Substituting the given values, we have:
base area = length * width = 6.75 inches * 10.25 inches = 69.1875 square inches.
height = 22.3 inches.
Now, substituting these values into the volume formula, we have:
V = (1/3) * 69.1875 square inches * 22.3 inches.
Multiplying these values together, we get:
V = 515.5645 cubic inches.
Therefore, the volume of the pyramid is approximately 515.5645 cubic inches.
wrong again
I apologize for the continued mistakes. Let's try to correct it again.
The formula for the volume of a right rectangular pyramid is given by:
V = (1/3) * base area * height
Given:
Altitude = 22.3 inches
Length = 6.75 inches
Width = 10.25 inches
To find the base area, we can use the formula:
Base area = Length * Width = 6.75 inches * 10.25 inches = 69.1875 square inches
Now substituting the values into the formula for volume:
V = (1/3) * 69.1875 square inches * 22.3 inches
Calculating this, we get:
V = 519.0625 cubic inches
Therefore, the volume of the pyramid is approximately 519.0625 cubic inches.