what is the volume of a triangular pyramid with the length of 9 inches, a height of 4 inches, and a width of 6 inches?
Ab =
Ab = (W*L)/2 = (6*9)/2 = 27 in^2 = Area
of the base.
V = (Ab*h)/3 = (27*4)/3 = 36 in^3.
To find the volume of a triangular pyramid, you can use the formula:
Volume = (1/3) * Base Area * Height
First, calculate the base area of the pyramid. Since it's a triangular pyramid, the base is in the shape of a triangle.
To find the area of a triangle, you can use the formula:
Area = (1/2) * Base * Height
In this case, the base of the triangle is 9 inches and the height is 6 inches.
So the base area of the pyramid is:
Base Area = (1/2) * 9 inches * 6 inches
Now, calculate the volume of the pyramid using the formula:
Volume = (1/3) * Base Area * Height
Substituting the values:
Volume = (1/3) * (1/2) * 9 inches * 6 inches * 4 inches
Simplifying:
Volume = (1/3) * (1/2) * 9 * 6 * 4 cubic inches
Volume = 54 cubic inches
Therefore, the volume of the triangular pyramid is 54 cubic inches.
To find the volume of a triangular pyramid, you need to use the formula:
Volume = (1/3) x Base Area x Height
First, let's find the base area of the triangular pyramid. Since the base is a triangle, the formula for the area of a triangle is:
Area = (1/2) x Base x Height
In this case, the base of the triangle is the length of the pyramid, which is given as 9 inches, and the height of the triangle is the width of the pyramid, given as 6 inches. So we can calculate the area as follows:
Base Area = (1/2) x 9 inches x 6 inches = 27 square inches
Now, we can substitute the values into the volume formula:
Volume = (1/3) x 27 square inches x 4 inches
To find the volume, multiply 27 by 4, then divide the result by 3:
Volume = (1/3) x 27 square inches x 4 inches = 36 cubic inches.
Therefore, the volume of the triangular pyramid is 36 cubic inches.