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. Looking forward, students can then progress to additional volume worksheets and other geometry worksheets, for example a simplifying expressions worksheet or simultaneous equations worksheet.įor more teaching and learning support on Geometry our GCSE maths lessons provide step by step support for all GCSE maths concepts.A prism close prism A 3D shape with a constant polygon cross-section. The volume of a prism is measured in units cubed, for example cm^3 or mm^3. Note that cuboids are a special type of prism and finding the volume of the cuboid could be done by finding the volume of a rectangular prism. For example, to find the volume of a trapezoidal prism, we would calculate the area of the trapezium and multiply this by the height of the prism. To calculate the volume of prisms we multiply the area of the cross-section by the length of the prism, text. The cross-section of a prism could be any polygon. A prism is a 3D shape with two identical ends joined by a number of rectangular faces. Volume of 3D shapes is a measure of how much space there is inside the 3D shape.
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