pdf SA Versus Volume Of RPs

This worksheet helps students clearly distinguish between volume and surface area of cubes and rectangular prisms through guided instruction and structured practice. The first page provides a detailed example that walks students through calculating volume using \( V = lwh \) and surface area by finding the areas of three distinct faces, adding them, and doubling the total.

The model emphasizes the conceptual difference between filling an object (volume, measured in cubic units) and wrapping an object (surface area, measured in square units). Students are reminded that opposite faces of a rectangular prism are congruent, allowing them to calculate three face areas and multiply by two for efficiency and accuracy.

After reviewing the example, students solve multiple problems that require them to calculate both volume and surface area for various cubes and rectangular prisms. The directions require students to show all work, reinforcing procedural fluency and mathematical communication.

This resource works well for direct instruction, guided practice, homework, test review, or intervention when students need reinforcement on distinguishing between cubic and square units.

Skills Assessed

• Calculating volume of rectangular prisms using \( V = lwh \)

• Calculating volume of cubes

• Calculating surface area of rectangular prisms

• Calculating surface area of cubes

• Distinguishing between cubic units and square units

• Showing organized, step-by-step work

Details

3 pages
6 practice problems
Answer key included

ID# 0304