Word Problem Rectangular Prisms Worksheet

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Grades

Standards

5.MD.C.5
5.MD.C.5.A
5.MD.C.5.B

Formats

About the Volume of Rectangular Prisms with Fractions 2 Worksheet

Volume of Rectangular Prisms with Fractions 2 advances students' understanding of complex volume calculations by incorporating mixed numbers and fractions in multiple dimensions. The material focuses on computing volumes when length, width, and height are given as mixed numbers, requiring students to convert between mixed numbers and improper fractions while maintaining accuracy across different units of measurement including feet, meters, centimeters, inches, and yards.

This interactive and printable worksheet, that aligns with the Common Core State Standards, Volume of Rectangular Prisms with Fractions 2, presents ten challenging problems that build sophisticated computational skills. Through multiple-choice format, students practice selecting the correct volume after performing multi-step calculations involving fraction multiplication and conversion. The progression of problems helps students develop confidence in handling increasingly complex fractional measurements while maintaining precision in their calculations.

What will your child learn through this worksheet?

Advanced strategies for multiplying mixed numbers and fractions
Conversion between mixed numbers and improper fractions
Management of multi-step volume calculations
Proper use of units in geometric measurements

Learning Outcomes

Calculate volumes involving mixed numbers with 90% accuracy
Convert between different forms of fractions efficiently
Apply volume formulas with fractional dimensions correctly
Demonstrate mastery in handling complex numerical operations

Cognitive

Through this interactive worksheet, students develop advanced computational skills with fractions
Practice multi-step problem solving strategies with mixed numbers

Psychomotor

This worksheet enhances precision in mathematical notation
Improves organization of complex calculations

Affective

Develops confidence in handling complex mathematical operations through this interactive learning experience
Builds persistence in solving challenging problems

Reinforce

This worksheet strengthens understanding of volume calculations with fractions
Encourages systematic approach to multi-step problems

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.