Answer:
Height of box A is [tex]\frac{1}{80}[/tex] times the volume of box B.
Step-by-step explanation:
- [tex]V_{Box\:A}=\frac{2}{5}\:V_{Box \: B}[/tex] (Given)
- [tex]A_{Base}= 32\:cm^2[/tex] (given)
- We know that: [tex]V_{Box]=A_{Base}*Height [/tex]
- [tex]\implies A_{Base}*Height=\frac{2}{5}\:V_{Box \: B}[/tex]
- [tex]\implies 32*Height=\frac{2}{5}\:V_{Box \: B}[/tex]
- [tex]\implies Height=\frac{2}{5*32}\:V_{Box \: B}[/tex]
- [tex]\implies \orange{\boxed{\bold{Height=\frac{1}{80}\:V_{Box \: B}}}}[/tex]
- Thus, the height of box A is [tex]\frac{1}{80}[/tex] times the volume of box B.
