11.04 Volume of composite prisms

Lesson

Practice

Lesson

Are you ready?

Do you remember how to find the volume of a rectangular prism?

Find the volume of the rectangular prism shown.

Learn

Some shapes aren't rectangular prisms, but can be broken up into two or more sections which are rectangular prisms. We can then find the volume of each prism separately by multiplying the height, length, and width together, and then add these volumes to find the total volume of the original shape.

Make sure to find the correct values for the height, length, and width of each prism. You may need to add or subtract values shown on the diagram to find some of the lengths.

Apply

Question

Find the volume of the composite prism shown.

Remember!

If a shape can be broken up into rectangular prisms, we can find its volume by adding together the volumes of those prisms.

Outcomes

5.MD.C.5a

Relate volume to the operations of multiplication and addition and solve mathematical problems and problems in real-world contexts involving volume. A. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes (e.G., To represent the associative property of multiplication).

5.MD.C.5c

Relate volume to the operations of multiplication and addition and solve mathematical problems and problems in real-world contexts involving volume. C. Understand volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms, applying this technique to solve mathematical problems and problems in real-world contexts.