Category: 01. 3d Figures and Volumes

Introduction In this lesson, we solve word problems involving the volume of a triangular prism. Real world problems.Example 1 A right prism base is a triangle whose sides are 18 cm, 20 cm and 34 cm. Find the volume of the prism if its height is 9 cm. Solution Step 1: Area of baseA = s(s−a)(s−b)(s−c)−−−−−−−−−−−−−−−−−√�(�−�)(�−�)(�−�)…

Introduction In this lesson we find the volume of a triangular prism A triangular prism is a prism that has two congruent parallel triangles as its bases and rectangular lateral faces. Formula for the volume of a triangular prism If A is the area of the base triangle and h is the height of the…

Introduction In this lesson we solve word problems involving the rate of filling or emptying a rectangular prism. Formula to find time to drain or fill up a rectangular prism at a certain rate. If the rate of filling up or draining a rectangular prism is ‘r’ units per minute and if the volume of…

Introduction In this lesson we solve word problems involving the volume of a rectangular prism.Example 1 Sarah has a chocolate box whose length is 12 cm, height 9 cm, and width 6 cm. Find the volume of the box. Solution Step 1: The given box has length = 12 cm; width = 6 cm; height…

Introduction In this lesson, we find the volume of rectangular prisms with fractional edge lengths. Formula for the volume of solid made of cubes with unit fractional edge lengths l = number of cubes with unit fractional edge length along the length w = number of cubes with unit fractional edge length along the width…

Introduction Here we find volume of solids made of cubes with unit fraction edge lengths. Consider for example a solid of dimensions 3 in × 3 in × 3 made of small cubes with 1212 inch edge lengths. In that case the solid is made up of 6 × 6 × 6 small cubes of 1212 inch edge lengths.…

Introduction A unit cube has a length of 1 unit, width of 1 unit and height of 1 unit. Its volume is 1 cubic unit. Any solid shape can be shown as being of made of unit cubes. Counting the number of unit cubes in that solid shape gives its volume. The cube shaded green is a…

Definitions Prism A prism is a solid bounded by a number of plane faces; its two faces, called the ends or bases, are congruent parallel plane polygons and other faces, called the side faces (or lateral faces), and are rectangles. Rectangular Prism In a rectangular prism the bases or ends are rectangular faces and the…

Definitions Solid shapes have attributes like face, vertices, edges that describe them. Individual flat surfaces are called faces. Faces meet in straight lines called edges and points called vertices. Edges − The line segments that form the skeleton of the 3D shapes are called edges. Faces − Flat surfaces enclosed by edges are called faces. A face…

Definitions Solid figures are classified into prisms, pyramids, cylinders, spheres and so on. A prism is a solid that has two congruent bases which are parallel faces. The other faces of the prism are in the shape of rectangles. They are called lateral faces. A prism is named after the shape of its base. The following diagrams…