If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

5th grade

Course: 5th grade > Unit 11

Lesson 3: Decompose figures to find volume
Math
5th grade
Volume
Decompose figures to find volume
© 2023 Khan AcademyTerms of usePrivacy PolicyCookie Notice

Understanding decomposing figures to find volume

CCSS.Math: 5.MD.C.5, 5.MD.C.5c
Google Classroom

Problem

The figure below is made up of two rectangular prisms.
A figure made up of 2 rectangular prisms. Color is used to show the rectangular prisms that make up the figure. The first rectangular prism is purple and has the dimensions 10 meters length by 4 meters width by 3 meters height. The second rectangular prism is orange and has the dimensions 10 meters length by 1 meter width by 7 meters height.
Find the volume of the entire figure by adding the volumes of the separate figures.
start text, V, o, l, u, m, e, end text, equals, start color #7854ab, 120, end color #7854ab, plus
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
start text, space, c, u, b, i, c, space, m, e, t, e, r, s, end text
Stuck?
Stuck?