Question

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?

Answer 1

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