成人论坛

3-dimensional shapes - EduqasPrisms

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.

Part of MathsGeometry and measure

Prisms

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 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.

Dimensions of a triangular prism

\(\frac{1}{2} \times 5 \times 2 = 5~\text{cm}^2\)

Multiply the area of the cross-section by the length.

\(5 \times 4 = 20~\text{cm}^3\)

\(\text{Volume of a prism} = \text{area of the cross-section} \times \text{length}\)