Florida B.E.S.T. MA.912.GR.4.6
The Standard
Solve mathematical and real-world problems involving the surface area 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 find the total surface area of prisms, pyramids, cylinders, cones, and spheres. They choose appropriate formulas, use given dimensions correctly, and apply results to costs, coverings, or materials.
What Mastery Looks Like
- Students select the correct area formulas, identify needed dimensions, and combine all exposed surfaces. They can solve for missing measures when needed and explain whether their answer is reasonable.
Common Misconceptions
- Students often mix up lateral area and total area, or leave out a base. They may use diameter as radius, confuse slant height with vertical height, or report cubic units.
How to Assess It
- Give students a labeled cone and rectangular prism. Ask them to find each total surface area, show the formula substitutions, and label answers in square units.
Lesson moves
Ways to Teach It
Give pairs cardboard packages to measure, sketch as nets, and calculate surface area before checking by adding each face separately.
Ask students to explain why a cone’s slant height, not its vertical height, appears in the lateral area formula.
Run a matching game with figure cards, dimension diagrams, surface area formulas, and completed calculations.
Have students calculate the paint and cost needed to cover a cylindrical water tank, excluding the base touching the ground.
Free download
Printable MA.912.GR.4.6 Worksheet
A ready-to-print activity worksheet aligned to MA.912.GR.4.6, 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.7.GR.2.2
Solve real-world problems involving surface area of right circular cylinders.
- MA.912.GR.4.5
Solve mathematical and real-world problems involving the volume 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.