volume of a trapezoidal prism calculator soup

#Volume of a trapezoidal prism calculator soup series

The length of the prism has been marked with an arrow and labelled, length.

The first image is a triangular prism and has an equilateral triangle for its cross section.

#Volume of a trapezoidal prism calculator soup 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.