Pentagonal and Hexagonal Prisms

This worksheet is designed for students in Grades 6 and 7 who are ready to extend their understanding of volume beyond basic prisms. By working with pentagonal and hexagonal prisms, learners apply geometric formulas, composite area reasoning, spatial visualization, and logical problem solving to calculate volume using side lengths, apothems, and heights.

Skills Reinforced

• Volume of Polygonal Prisms (Gr. 6-7): Calculate volume for prisms with pentagonal and hexagonal bases using appropriate formulas.
• Applying Geometric Formulas: Use base area formulas involving apothems and perimeters before multiplying by height.
• Spatial Reasoning: Connect two-dimensional polygon properties to three-dimensional solid figures.
• Problem Solving & Logical Thinking: Work through multi-step calculations that require accuracy and reasoning.

Instructional Benefits

• Teacher-Created Resource: Designed by educators to align with middle school geometry and measurement standards.
• Advanced Geometry Exposure: Introduces less common prism types to deepen conceptual understanding.
• Clear Structure & Visual Support: Diagrams and labeled dimensions help students organize information effectively.
• Flexible Use: Suitable for math centers, independent practice, small groups, enrichment, assessment review, homework, or homeschool instruction.

This pentagonal and hexagonal prisms worksheet helps students bridge two-dimensional polygon geometry with three-dimensional volume concepts. By calculating composite base areas and extending them through height, learners strengthen spatial reasoning, formula fluency, and confidence with advanced measurement tasks. Whether used in the classroom or a homeschool setting, this printable provides rigorous, no-prep practice that supports higher-level geometric thinking and problem-solving skills.

This worksheet is part of our Volume collection.