Volume of 3D Shapes Worksheet

About the Finding the Volume of 3D Shapes 2 Worksheet

Finding the Volume of 3D Shapes 2 advances students' understanding of volume calculation through diverse three-dimensional geometric figures. The material presents a comprehensive set of problems involving regular prisms, cylinders, spheres, and cones with varying dimensions and units of measurement. Students work with different measurement units (inches, centimeters, meters, yards) while applying appropriate volume formulas for each shape type.

This interactive and printable worksheet, that aligns with the Common Core State Standards, Finding the Volume of 3D Shapes 2, progresses from basic rectangular prisms to more complex shapes including composite figures like L-shaped prisms and shapes with fractional dimensions. The worksheet culminates with a reflective question that encourages students to articulate their understanding of volume calculation methods. Each problem requires careful attention to units and proper application of volume formulas, helping students develop strong geometric reasoning skills.

What will your child learn through this worksheet?

Volume calculation methods for various 3D shapes
Unit conversion and consistency in measurements
Application of different volume formulas
Problem-solving with mixed units and fractional measurements

Learning Outcomes

Apply appropriate volume formulas to different 3D shapes with 90% accuracy
Convert between different units of measurement correctly
Calculate volumes involving fractional and decimal measurements
Demonstrate understanding of composite shape volume calculations

Cognitive

Through this interactive worksheet, students develop strategic problem-solving approaches
Practice applying appropriate formulas for different geometric shapes

Psychomotor

This worksheet enhances precision in mathematical calculations
Improves ability to visualize three-dimensional shapes

Affective

Develops confidence in handling complex geometric problems through this interactive learning experience
Builds appreciation for systematic problem-solving methods

Reinforce

This worksheet strengthens understanding of volume relationships across different shapes
Encourages clear mathematical communication and reasoning

Common Core Standards Covered

5.MD.C.5

Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

5.MD.C.5.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.5.b

Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

5.MD.C.5.c

Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.