VOLUME OF TRAPEZOIDAL PRISM FORMULA SERIES

The length may be the height, depending on the orientation of the prism. , The volume of a prism is the area of the cross-section multiplied by the length. In the formula the words, area of the cross section are coloured orange. The words, length, length or height are coloured blue. Each cross section of the prism is coloured orange. Written below, a key: orange equals the area of the cross section.

Written above, the formula: volume equals area of cross section multiplied by length. The height of the prism has been marked with an arrow and labelled, length or height. The fourth image is an upright, hexagonal prism and has a hexagon for its cross section. The length of the prism has been marked with an arrow and labelled, length. The third image is a hexagonal prism and has a hexagon for its cross section. The second image is a pentagonal prism and has a pentagon for its cross section. The first image is a triangular prism and has an equilateral triangle for its cross section.

VOLUME OF TRAPEZOIDAL PRISM FORMULA SERIES

Previous image Next image Slide 1 of 8, A series of four images. A cylinder is not a prism because the circle is not a polygon. A 3D shape with a circular cross-section is a cylinder. A prism with a pentagon-shaped cross-section is a pentagonal prism. A prism with a triangle-shaped cross-section is a triangular prism. The polygon shape of the cross-section may be used to name the prism. That means that the cross-section is the same throughout the length of the prism. There is a red cross next to the cylinder. The triangular and pentagonal cross sections are coloured green. There is a green tick next to the triangular and pentagonal prisms. The fourth image is a cylinder and has a circle for its cross section. The third image is a pentagonal prism and has a pentagon for its cross section. The second image has an equilateral triangle for its cross section. The first image has a right angled triangle for its cross section. The first and second images are triangular prisms. Each image shows a three dimensional shape. Previous image Next image Slide 1 of 9, A series of four images.

Multiply the perimeter of the end face by the length of the prism.

Work out the area of each rectangle separately, length × width.Work out the area of all the rectangular faces in one of two ways:.To calculate the total surface area of a prism:.The surface area is made up of the end faces and rectangular faces that join them. The cross-section of a prism is a polygon, a shape bounded by straight lines. When the cross-section is a hexagon, the prism is called a hexagonal prism.Ī cylinder close cylinder A 3D shape with a constant circular cross-section.When the cross-section is a triangle, the prism is called a triangular prism.cross-section close cross-section The face that results from slicing through a solid shape. can be named by the shape of its polygon close polygon A closed 2D shape bounded by straight lines. Volume is measured in cubed units, such as cm³ and mm³.Ī prism close prism A 3D shape with a constant polygon cross-section. of a prism is the area of its cross-section multiplied by the length. The volume close volume The amount of space a 3D shape takes up. Surface area is measured in square units, such as cm² and mm². shapes and the area of different shapes helps when working out the surface area of a prism. Measured in square units, such as cm² and m². of 3D close surface area (of a 3D shape) The total area of all the faces of a 3D shape.

Understanding nets close net A group of joined 2D shapes which fold to form a 3D shape. The number of rectangular faces is the same as the number of edges close Edge The line formed by joining two vertices of a shape.

at either end of the prism and a set of rectangles between them. faces close face One of the flat surfaces of a solid shape. is made up of congruent close congruent Shapes that are the same shape and size, they are identical. The surface area close surface area (of a 3D shape) The total area of all the faces of a 3D shape. The cross-section is a polygon close polygon A closed 2D shape bounded by straight lines. has a constant cross-section close cross-section The face that results from slicing through a solid shape. A prism close prism A 3D shape with a constant polygon cross-section.

Volume of trapezoidal prism formula