Florida B.E.S.T. MA.912.GR.4.5
The Standard
Solve mathematical and real-world problems involving the volume of three-dimensional figures limited to cylinders, pyramids, prisms, cones and spheres.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students calculate the volume of prisms, cylinders, pyramids, cones, and spheres from diagrams or descriptions. They select needed dimensions, apply the correct formula, and use cubic units. They also interpret volume in practical situations such as capacity, storage, and material use.
What Mastery Looks Like
- Students choose the correct formula from the figure and given dimensions. They substitute accurately, solve for missing measures when needed, and report exact or rounded answers with cubic units. They can explain what the result means in context.
Common Misconceptions
- Students often use the diameter as the radius or use slant height instead of perpendicular height. They may forget the one-third factor for pyramids and cones or confuse the sphere formula. Some label answers with square units instead of cubic units.
How to Assess It
- Exit ticket: A cone-shaped cup has radius 3 cm and height 8 cm. Find its capacity in exact form and to the nearest cubic centimeter.
Lesson moves
Ways to Teach It
Fill a prism, pyramid, cylinder, and cone with rice to test which paired solids hold one-third as much.
Ask students to write why a cone and cylinder with equal bases and heights do not have equal volumes.
Run a formula-card sort, matching figure cards, dimensions, volume formulas, and correctly labeled answers.
Have students compare two drink containers by calculating capacity from measured dimensions and deciding which gives more volume per dollar.
Free download
Printable MA.912.GR.4.5 Worksheet
A ready-to-print activity worksheet aligned to MA.912.GR.4.5, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- MA.5.GR.3
Solve problems involving the volume of right rectangular prisms.
- MA.912.GR.4.6
Solve mathematical and real-world problems involving the surface area of three-dimensional figures limited to cylinders, pyramids, prisms, cones and spheres.
- MA.7.GR.2.3
Solve mathematical and real-world problems involving volume of right circular cylinders.
- MA.7.GR.2
Solve problems involving three-dimensional figures, including right circular cylinders.
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.