Volume of Prisms Worksheet | Grade 8 Math Printable

This Grade 8 math worksheet provides focused practice on calculating the volume of various prisms. By working through these exercises, students will master the universal volume formula V = Bh and apply it to triangular, rectangular, trapezoidal, and hexagonal prisms to solve real-world and mathematical problems.

At a Glance

• Grade: 8 · Subject: Math
• Standard: CCSS.MATH.CONTENT.7.G.B.6 — Solve real-world problems involving volume of right prisms
• Skill Focus: Calculating volume of prisms
• Format: 5 pages · 8 problems · Answer key included · PDF
• Best For: Independent practice and review
• Time: 25–35 minutes

This comprehensive 5-page resource features 8 carefully sequenced problems. The first section includes visual models of triangular, trapezoidal, and rectangular prisms where students must identify the base area and height to find the total volume. The second section transitions into word problems, challenging learners to apply their knowledge to scenarios like finding the capacity of an aquarium or working backward to find a missing dimension when the total volume is given. A complete answer key is included for easy grading.

Skill Progression

• Guided practice: The first few problems provide clear 3D diagrams with labeled dimensions and structured answer spaces for the area of the base and total volume.
• Supported practice: Mid-level tasks introduce word problems without diagrams, requiring students to visualize the shapes and extract the necessary measurements from the text.
• Independent practice: The final problems challenge students to manipulate the formula, such as finding the height of a prism when the base area and total volume are already known.

This gradual-release approach ensures students build confidence before tackling more complex, abstract geometry concepts.

Standards Alignment

Aligned to CCSS.MATH.CONTENT.7.G.B.6: Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. It also supports high school geometry foundations for 3D modeling. Both standard codes can be copied directly into lesson plans, IEP goals, or district curriculum mapping tools.

How to Use It

This worksheet is highly versatile for middle and high school geometry units. Use it as an independent practice assignment immediately following direct instruction on the volume formula. Alternatively, assign the word problem section as a formative assessment to gauge how well students can translate written scenarios into mathematical equations. As a formative assessment observation tip, watch to see if students correctly identify the "base" of the prism (especially for triangular and trapezoidal prisms) rather than just multiplying all visible numbers together. Expected completion time is 25 to 35 minutes.

Who It's For

This resource is designed for 8th-grade and high school geometry students mastering 3D measurement. The structured answer spaces provide excellent scaffolding for students who struggle with multi-step calculations, keeping their work organized. It pairs perfectly with physical manipulatives or a visual anchor chart detailing how to find the area of different 2D base shapes.

Research highlights the importance of structured practice in spatial reasoning and geometry. According to a RAND AIRS 2024 study, providing students with explicit frameworks for multi-step geometry tasks significantly improves their ability to solve complex spatial problems. By aligning with CCSS.MATH.CONTENT.7.G.B.6 to solve real-world problems involving volume of right prisms, this worksheet bridges the gap between basic formula memorization and applied mathematical reasoning. The clear progression from visual models to abstract word problems supports cognitive development in spatial visualization, a critical skill for advanced STEM coursework.