A worksheet on evaluating the total surface area and the volume of right prisms: cubes, rectangular prisms and triangular prisms. Detailed solutions are included.

Master secondary geometry essentials with this comprehensive, no-prep worksheet pack designed for KS3 and KS4 mastery. This resource targets total surface area and volume calculations for rectangular prisms, cubes, and advanced triangular prisms.

Looking for a rigorous, ready-to-print geometry review pack that breaks down surface area and volume step-by-step?
This comprehensive maths worksheet pack is specifically designed to reinforce foundational spatial reasoning and advanced 3D shape calculations for secondary students. Whether you are preparing for end-of-term assessments, looking for high-quality homework tasks, or need reliable cover work, this pack has you covered.

What Shapes & Concepts Are Covered?
• Rectangular Prisms (Cuboids): Calculating total surface area and volume using side lengths, base perimeters, and perpendicular heights.
• Cubes: Master volume and surface area using edge-length formulas or standard prism rules.
• Triangular Prisms: Advanced multi-step problems featuring equilateral triangular cross-sections.
• Pythagorean Theorem Integration: Scaffolded non-calculator and calculator tasks that challenge pupils to calculate the missing height of a triangular base using a^2 + b^2 = c^2 before solving for total volume or area.

What Is Included in This Download?
• Student Worksheet PDFs: Clean, minimalist layouts that provide plenty of workspace for pupils to show their mathematical thinking and geometric workings.
• Complete Answer Keys: Fully worked-out step-by-step solutions showing every stage of arithmetic, perimeter calculation, and square root approximation—perfect for quick teacher marking or student self-assessment.
• Scaffolded Task Layouts: Conceptual transition from standard 3D rectangular blocks to vertical columns and multi-step triangular solids.

Curriculum Alignment
• UK National Curriculum: Seamlessly covers Key Stage 3 (KS3) and Key Stage 4 (KS4 / GCSE foundation) criteria for calculating the surface area and volume of right prisms, applying Pythagoras’ Theorem in 2D and 3D contexts, and rounding to decimal places.