Volume Estimation for HVAC Planning
Air It Out! is an engaging 6th–7th grade geometry worksheet where students step into the role of an HVAC planner. Using a floor plan plotted on a coordinate grid, students measure the length and width of rooms and apply the volume formula for rectangular prisms (V = length × width × height) to calculate the air volume for each room.
With a standard ceiling height provided, students determine the total volume of the apartment and estimate the cost of HVAC installation using a simplified cost per cubic foot. As they enter correct answers, immediate feedback helps reinforce understanding.
This worksheet helps students grasp how geometry, especially volume, is applied in real-world planning, budgeting, and design—from heating systems to storage and construction.
🔍 Key Features:
- Realistic floor plan on a coordinate grid
- Hands-on application of volume calculation
- Simplified cost estimation for HVAC installation
- Visual feedback for student input
- Aligned with 6.G.A.2 and 7.G.B.6 Common Core standards
- Connects geometry to real-world STEM careers
Perfect for classrooms seeking meaningful, applied math activities that show students how geometry is used in life beyond the classroom.
Learning Objective
Students will apply the volume formula for right rectangular prisms (V = length × width × height) to calculate the air volume of rooms in a floor plan. They will use these calculations to estimate the total volume of air in an apartment and determine the cost of HVAC installation based on a simplified rate, demonstrating how volume is used in real-world planning and budgeting scenarios.
