find the volume
triangular pyramid: triangle base 20mm
triangle height 22mm, pyramid height 14mm
To find the volume of a triangular pyramid, use the formula:
Volume = (1/3) x Base Area x Height
1. First, find the base area of the triangular pyramid.
The formula for the area of a triangle is:
Area = (1/2) x Base x Height
Given:
Triangle base = 20 mm
Triangle height = 22 mm
Substituting these values into the formula, we have:
Area = (1/2) x 20 mm x 22 mm
Area = 220 mm²
2. Now, substitute the values into the volume formula:
Volume = (1/3) x Base Area x Height
Volume = (1/3) x 220 mm² x 14 mm
Calculating this, we get:
Volume = (1/3) x 220 mm² x 14 mm
Volume = (220 x 14) / 3
Volume = 3080 / 3
Volume = 1026.67 mm³
Therefore, the volume of the triangular pyramid is approximately 1026.67 mm³.
To find the volume of a triangular pyramid, you need to multiply the base area of the triangular base by the height and then divide the result by 3.
1. Begin by calculating the base area of the triangular base.
The formula to find the area of a triangle is: (base * height) / 2.
In this case, the base of the triangle is 20mm and the height is 22mm.
Therefore, the base area is (20 * 22) / 2 = 220 square mm.
2. Next, multiply the base area by the pyramid height.
The pyramid height in this case is 14mm.
So, the product of the base area (220 square mm) and the pyramid height (14mm) is 220 * 14 = 3080 cubic mm.
3. Finally, divide the result by 3 to get the volume.
The volume of the triangular pyramid is 3080 / 3 = 1026.67 cubic mm.
Therefore, the volume of the triangular pyramid is approximately 1026.67 cubic mm.