Understanding Volume Calculations for Triangular Prisms
A triangular prism is a three-dimensional shape with triangular bases and rectangular faces. When working with Volume of prism questions and answers, understanding how to calculate the volume of a triangular prism is essential for GCSE mathematics. The formula for finding the volume involves multiplying the area of the triangular base by the length (height) of the prism.
Definition: The volume of a triangular prism = (½ × base × height of triangle) × length of prism
In this Corbettmaths Volume worksheet example, we have a triangular prism with base 7cm, height 3cm, and length 10cm. To solve this systematically, first calculate the area of the triangular base using the formula ½ × base × height. With these measurements, the calculation would be ½ × 7 × 3 = 10.5 square centimeters for the base area. Then multiply this by the prism's length: 10.5 × 10 = 105 cubic centimeters.
Example:
Base area = ½ × 7cm × 3cm = 10.5cm²
Volume = 10.5cm² × 10cm = 105cm³
This type of question frequently appears in Exam style prism volume calculations worksheet materials and GCSE examinations. Understanding these calculations helps develop spatial awareness and practical mathematical skills used in engineering, architecture, and construction.