Practice Geometric Modeling in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Using geometric shapes and their relationships to represent, approximate, and analyze real-world objects and situations.
Modeling a house as boxes and triangles; a planet as a sphere.
Example 1
easyA garden is modelled as a rectangle 20 m long and 8 m wide. Calculate the area to be planted and the length of fencing needed.
Example 2
mediumA can of soup is modelled as a cylinder. The can is 12 cm tall and 7 cm in diameter. Calculate the volume of soup and the total surface area of metal needed to make the can.
Example 3
easyA triangular warning sign has a base of 60 cm and height of 52 cm. What area of reflective material is needed to cover the sign?
Example 4
hardA swimming pool has a rectangular flat bottom (20\,\text{m}\times 8\,\text{m}) with a semicircular end on each short side (the pool shape is a rectangle with two semicircles). Find the total surface area of the pool floor (water-contact area, flat only).