How Do You Find the Volume of a Composite Figure?

How Do You Find the Volume of a Composite Figure?

Note:

Composite figures are just a combination of simpler figures in disguise! In this tutorial, you'll see how to break down a composite figure into simpler figures. Then, see how to find the volume of each of those individual figures to find the volume of the entire composite figure. Watch the whole process in this tutorial!

Keywords:

  • composite figure
  • volume
  • add
  • find shapes
  • shapes
  • many shapes

Background Tutorials

  • Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.

      • What is a Rectangle?What is a Rectangle?

      What is a Rectangle?

      A rectangle is one of the many fundamental shapes you'll see in math. Rectangles have special properties that can be very useful in helping you solve a problem. This tutorial introduces you to rectangles and explains their interesting qualities!

  • Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

      • What is a Prism?What is a Prism?

      What is a Prism?

      The term prism is a cool name for a special kind of three-dimensional solid. This tutorial defines the term prism and shows you how to name a prism using the shape of its bases. Check it out!

  • Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

      • What is a Composite Figure?What is a Composite Figure?

      What is a Composite Figure?

      Ever notice that some figures look like a combination of multiple other figures? These types of figures are called composite figures. This tutorial introduces you to composite figures and shows you how to break up a composite figure into multiple shapes. Take a look!

      • What is the Formula for the Volume of a Prism?What is the Formula for the Volume of a Prism?

      What is the Formula for the Volume of a Prism?

      Trying to find the volume of a prism? Did you know that there's a formula to find that volume? In this tutorial, you'll learn about the formula for the volume of a prism. Check it out!

  • Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri's principle, and informal limit arguments.

      • What is the Formula for the Volume of a Pyramid?What is the Formula for the Volume of a Pyramid?

      What is the Formula for the Volume of a Pyramid?

      Looking for the formula for the volume of a pyramid? Then check out this tutorial! You'll learn about the formula for the volume of a pyramid and see how to use the formula in an example. Take a look!

Further Exploration

  • Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

      • How Do You Find the Volume of a Cylinder?How Do You Find the Volume of a Cylinder?

      How Do You Find the Volume of a Cylinder?

      The volume of a cylinder is the amount of space that will fit inside it. You can use the formula for the volume of a cylinder to find that amount! In this tutorial, see how to use that formula and the radius and height of the cylinder to find the volume. Check it out!