A rectangular 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)