Surface area problems
Answers are for parents and teachers.
1
The base of a right prism is a 4 cm by 9 cm rectangle and the lateral edge is 5 cm. What is its total surface in cm²?
202
2
A regular quadrilateral pyramid has base side 24 cm and height 5 cm. Find its lateral surface (apothem 13 cm).
624
3
A cone has base radius 6 cm and height 8 cm. Find its generator, lateral and total surface.
l = 10 cm; lateral surface 60π cm²; total surface 60π + 36π = 96π cm².
4
A cylinder has base radius 3 cm and total surface 66π cm². What is its height, in cm?
8
5
The lateral surface of a cone unrolls into a sector. If the base radius is 5 cm and the generator 12 cm, how many degrees is the sector’s central angle?
150