Question

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

Answer 1

wrong

Answer 2

wrong again

Answer 3

514.29

Answer 4

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.

Answer 5

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.

Answer 6

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.