Question

The volume of box A is 2/5 the volume of box b. What is the height of box A if it has a base area 32 square centimeters​

Answer 1

Height of box A is
`(1)/(80)` times the volume of box B.

Explanation:

• 
  `V_(Box\:A)=(2)/(5)\:V_(Box \: B)` (Given)

• 
  `A_(Base)= 32\:cm^2` (given)

• We know that:
  `V_{Box]=A_(Base)*Height`

• 
  `\implies A_(Base)*Height=(2)/(5)\:V_(Box \: B)`

• 
  `\implies 32*Height=(2)/(5)\:V_(Box \: B)`

• 
  `\implies Height=(2)/(5*32)\:V_(Box \: B)`

• 
  `\implies \orange{\boxed{\bold{Height=(1)/(80)\:V_(Box \: B)}}}`

• Thus, the height of box A is
  `(1)/(80)` times the volume of box B.