3-dimensional shapes have faces, edges and vertices. Volume is the space contained within a 3D shape. Surface area is the sum of the area of each face. 3D shapes can be viewed from different points.
If a rectangular loaf of bread was cut into slices, the shape and size of each slice would be the same. The loaf is very close to being a prism.
A prism has a cross-sectionA shape or surface that is shown as the result of cutting through it in half, so that the inside can be seen, eg a cross-section of a river or of a mathematical shape. which is exactly the same shape and size throughout its length.
A triangular prism has a triangular cross-section.
To calculate the volume of a prism, first calculate the area of the cross-section.
\(\frac{1}{2} \times 5 \times 2 = 5~\text{cm}^2\)
Multiply the area of the cross-section by the length.
\(5 \times 4 = 20~\text{cm}^3\)
\(\text{Volume of a prism} = \text{area of the cross-section} \times \text{length}\)