Answer:
x= 3 inches
Step-by-step explanation:
-The volume of a box is given by the formula:
-We are given the dimensions h=x+2, l=2x+5 and w=4x-1.
We substitute this values in the formula and equate to the volume value.
#We take the values to the same side and equate to zero;
#Applying the zero factor principal to obtain the different values of x:
#We use the quadratic formula to solve the two other values of x:
The two other values are negatives. Ignore them since length cannot be a negative.
The only reasonable value of x is x=3
#We substitute in the formula to validate:
Hence, the value of x is 3 inches