Arectangular prism has a base area of 48 square centimeters and a volume of 96 cubic centimeters. what are the dimensions of the prism?

volume=legnth times width times height
base area=legnth times width

we are given volume and base area therfor
96=legnth times width times height
48=legnth times width
subsitte 48 for legnth times width
96=48 times height
divide both sides by 48
2=height

the prisim is 2 cm high

the legnth and width are not given
we know only that length times width=48 so the values for legnth and width could be
l=48 and w=1
l=24 and w=2
l=16 and w=3
l=12 and w=4
l=8 and w=6

so therefor the dimentions could be the following
 
l=48 cm and w=1 cm and h=2 cm
l=24 cm and w=2 cm and h=2 cm
l=16 cm and w=3 cm and h=2 cm
l=12 cm and w=4 cm and h=2 cm
l=8 cm and w=6 cm and h=2 cm
(l=legnth w=width h=height)