The right rectangular prism has length= 5 and width = 6.25 which is option B).
Step-by-step explanation:
The Formula for volume of right rectangular prism is given as :
Volume = length× width× height.
The given information are :
- The volume of the rectangular prism is 250 cubic centimeters.
- The height of the rectangular prism is 8 centimeters.
To find length and width :
Substitute volume = 250 and height = 8 in the above formula,
Volume of right rectangular prism = length× width× height.
250 = length× width× 8
length× width = 250/8
length× width = 31.25 -------(1)
Now, substitute the given options in the equation(1) and check which values of length and width satisfies the equation.
Option A) l= 5 and w= 6
length× width = 31.25
5×6 = 30 (less that 31.25)
Option B) l= 5 and w= 6.25
length× width = 31.25
5×6.25 = 31.25 (satisfies the equation)
Option C) l= 5.25 and w= 6
length× width = 31.25
5.25×6 = 31.5 (greater that 31.25)
Option D) l= 5.5 and w= 6.2
length× width = 31.25
5.5×6.2 = 34.1 (greater that 31.25)
