Composite Figures
Grade 5 · Math · Volume and Measurement · Utah, USA
Lesson Summary
Find the volume of shapes made of two or more rectangular prisms joined together.
Explanation
A composite figure is a shape made by combining two or more simpler shapes. To find the total volume, break the figure into rectangular prisms that you can measure easily. Calculate the volume of each piece using length times width times height, then add those volumes together. Think of it like figuring out the volume of each box in a stack and adding them up.
Practice Questions
Q1: An L-shaped figure is made of two boxes. Box A is 4 x 2 x 3 and Box B is 3 x 2 x 2. What is the total volume?
Answer: 36 cubic units. Box A: 4 x 2 x 3 = 24. Box B: 3 x 2 x 2 = 12. Total: 24 + 12 = 36.
Q2: A step-shaped figure has a bottom layer of 6 x 4 x 1 and a top layer of 3 x 4 x 1. What is the total volume?
Answer: 36 cubic units. Bottom: 6 x 4 x 1 = 24. Top: 3 x 4 x 1 = 12. Total: 24 + 12 = 36.
Q3: How do you find the volume of a T-shaped solid?
Answer: Split the T-shape into two rectangular prisms, find the volume of each one using length x width x height, and then add the two volumes together.
People Also Ask
What is Composite Figures in Grade 5 Math?+
Composite Figures is a lesson in the Volume and Measurement chapter of Grade 5 Math. It is part of the Utah, USA school curriculum and covers key concepts that students need to understand at this level.
What grade level covers Composite Figures?+
Composite Figures is taught in Grade 5 as part of the Math curriculum in Utah, USA.
How can I help my child with Volume and Measurement in Math?+
Start with the lesson summary and explanation on this page. Practice the questions provided, then use TutorTom for personalized, step-by-step help with Volume and Measurement topics.