Respuesta :
Answer:
2 cm, 6 inches, 5 inches, 7.5 inches.
Step-by-step 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:
[tex]Volume\ of\ rectangular\ gift\ box=[/tex] [tex]length\times breadth\times height[/tex]
[tex]160=10\times8\times height\\160=80height[/tex]
Dividing both sides by 80
[tex]2=height[/tex]
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:
[tex]Volume\ of\ jewelry \ box=[/tex] [tex]length\times breadth\times height[/tex]
[tex]222=18.5\times2\times height\\222=37height[/tex]
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:
[tex]Volume\ of\ aquarium =[/tex] [tex]length\times breadth\times height[/tex]
[tex]575=23\times5\times height\\575=115height[/tex]
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:
[tex]Volume\ of\ puzzle =[/tex] [tex]length\times breadth\times height[/tex]
[tex]810=9\times12\times height\\810=108 height\\height=7.5\ inches[/tex]
Thus, height of the aquarium is 7.5 inches.
