Volumetric Marvel: Calculating the Volume of a Triangular Prism
August 25, 2023 by JoyAnswer.org, Category : Mathematics
What is the volume of a triangular prism? Master the technique to compute the volume of a triangular prism. Walk through the formula and steps required to determine the space occupied by this three-dimensional shape.
What is the volume of a triangular prism?
The volume of a triangular prism can be calculated using the formula:
Volume = (1/2) × Base Area × Height × Length
Where:
- Base Area is the area of the triangular base of the prism (usually a right triangle).
- Height is the perpendicular distance between the two triangular bases.
- Length is the distance between the two triangular bases.
To find the base area of the triangular prism, you can use the formula for the area of a triangle:
Base Area = (1/2) × Base Length × Height
Once you have the base area, height, and length, you can plug these values into the volume formula to calculate the volume of the triangular prism.
Here's a step-by-step example:
Suppose you have a triangular prism with the following measurements:
- Base Length of the triangle: 6 units
- Height of the triangle: 4 units
- Length of the prism: 10 units
- Height between the triangular bases: 7 units
Calculate the base area of the triangular base:Base Area = (1/2) × Base Length × HeightBase Area = (1/2) × 6 units × 4 unitsBase Area = 12 square units
Use the base area, height between the bases, and length to calculate the volume of the triangular prism:Volume = (1/2) × Base Area × Height × LengthVolume = (1/2) × 12 square units × 7 units × 10 unitsVolume = 420 cubic units
So, the volume of the triangular prism is 420 cubic units.
