The dimension of the edges in a right rectangular prism have the ratio 2:7:13. the volume of the prism is 1650 cm3. what is the length of the shortest side?

LWH=V

L=7 units

W=2 units

H=13 units

the shortest side is 2 units

7/2 times 2=7

13/2 times 2=13

7/2=3.5

13/2=7.5

S=shortest side

LWH=1650

(3.5S) (S) (7.5S) = 1650

26.25S^3=1650

divide both sides by 26.25

S^3=62.8571

cube root both sides

S=3.97605

about 4 cm

(7u) (2u) (13u) = 1650

182u^3=1650

divide both sides by 182

u^3=9.06