Question
Giselle has a block of wood that measures 14 cm by 12 cm by 10 cm. She is making a wooden ball in tech class.
a) What percent of the wood is wasted?
b) What assumptions are you making?
a) What percent of the wood is wasted?
b) What assumptions are you making?
Answers
Steve
Assuming the ball's diameter is the smallest dimension of the block, it is 10cm in diameter.
So, the fraction of the block occupied by the ball is
(pi/6 * 10^3)/(14*12*10) = 31%
So, the fraction of the block occupied by the ball is
(pi/6 * 10^3)/(14*12*10) = 31%