Question

A rectangular gift box has a volume of 160 cubic cm. Its length is 10 cm and its width is 8 cm. What is its height? Sienna has a jewelry box with a volume of 222 cubic inches. If the length of the jewelry box is 18.5 inches and the width is 2 inches, what is the height of the jewelry box? Gavin has an aquarium with a volume of 575 cubic inches. If the length of the aquarium is 23 inches and the width is 5 inches, what is the height of the aquarium? Connor has been asking for a 3-D puzzle in the shape of a rectangular prism. The volume of the puzzle he'd like is 810 cubic inches. If the length of the puzzle is 9 inches and the width is 12 inches, what is the height of the puzzle?

Answer 1

2 cm, 6 inches, 5 inches, 7.5 inches.

Explanation:

Given:

A rectangular gift box has a volume of 160 cubic cm. Its length is 10 cm and its width is 8 cm.

What is its height ?

Solution:

`Volume\ of\ rectangular\ gift\ box=`
`length* breadth* height`

`160=10*8* height\\160=80height`

Dividing both sides by 80

`2=height`

Thus, height of rectangular gift box is 2 cm

Given:

Sienna has a jewelry box with a volume of 222 cubic inches. If the length of the jewelry box is 18.5 inches and the width is 2 inches.

What is the height of the jewelry box?

Solution:

`Volume\ of\ jewelry \ box=`
`length* breadth* height`

`222=18.5*2* height\\222=37height`

Dividing both sides by 37

height = 6 cm

Thus, height of the jewelry box is 6 inches.

Given:

Gavin has an aquarium with a volume of 575 cubic inches. If the length of the aquarium is 23 inches and the width is 5 inches.

What is the height of the aquarium?

Solution:

`Volume\ of\ aquarium =`
`length* breadth* height`

`575=23*5* height\\575=115height`

Dividing both sides by 115

height = 5 cm

Thus, height of the aquarium is 5 inches.

Given:

The volume of the puzzle he'd like is 810 cubic inches. If the length of the puzzle is 9 inches and the width is 12 inches.

Question asked:

What is the height of the puzzle?

Solution:

`Volume\ of\ puzzle =`
`length* breadth* height`

`810=9*12* height\\810=108 height\\height=7.5\ inches`

Thus, height of the aquarium is 7.5 inches.