A right rectangular prism has a volume of 30 cubic inches. Its length is ⅓ inch and its width is 3 feet. What is its height in inches?
Answers
Step-by-step explanation:
Given:-
A right rectangular prism has a volume of 30 cubic inches. Its length is ⅓ inch and its width is 3 feet.
To find:-
What is its height in inches?
Solution:-
Length of the rectangular prism (l)=1/3 inch
Width of the rectangular prism (b)=3 feet
We know that
1 feet = 12 inches
3 feet = 3×12 = 36 inches
Width = 36 inches
Let the height of the rectangular prism be
"h " inches
Volume of the right rectangular prism
=>Volume of a cuboid
=>V = lbh cubic units.
=>V = (1/3)×36×h cubic inches
=>V = 36h/3 cubic inches
=>V = 12h cubic inches
According to the given problem
Volume of the given right rectangular prism is 30 cubic inches
=>12h = 30
=>h = 30/12
=>h = 5/2 inches
=>h = 2.5 inches
Therefore, h = 2.5 inches
Answer:-
Height of the given right rectangular prism is
2.5 inches
Used formula:-
- A rectangular prism is also called as a cuboid
- Volume of a cuboid = lbh cubic units
- l= length of the cuboid
- b = breadth or width of the cuboid
- h = height of the cuboid
- 1 feet = 12 inches