Question

How much cardboard is needed for the smallest box that holds a rubber ball? The rubber ball has a volume of 1436.8 cm³. Consider there to be no overlap on the box sides

Answer 1

Answer:

1176 cm^2

Step-by-step explanation:

v of sphere= 4/3 π r^3

1436.8= 4/3πr^3

1436.8=4/3*3.14*r^3

r=

$\sqrt[3]{343}$

r= 7cm

length of side of cube = diameter

diameter==7*2=14

length of side=14

cardboard required= TSA of cube

6a^2

6*14^2

6*196

1176 cm^2