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Answer:
Using the formula:
where
A is the total amount
P is the principal
I is the Simple Interest
As per the statement:
Principal(P) = 5300 rupees.
rate of interest(r) = 6.5% = 0.065
Total amount(A) = 6678 rupees.
Then using above formula we have;
Subtract 5300 both sides we get;
or
We have to find the time period.
Using formula of Simple interest:
where r is the rate of interest (in decimal)
here, r = 6.5% = 0.065
Substitute the given values top find t:
⇒
Divide both sides by 344.5 we have;
Therefore, the time period t in years is 4 years
The greatest possible surface area of the prism is 78 square units, it is obtained by removing center cube on each side of the prism.
Step-by-step explanation:
The given is,
Prism is made up of 27 identical cubes
Step:1
Ref attachment,
Let, surface area of one of cube = 1 square units
Surface area of given prism,
In the given diagram it have 9 cube sides in each side of prism.
1 surface prism = 9 surface of cube
Surface area of given prism = 6 × Surface of prism
= 6 × 9
= 54 square units
Step:2 Check for alternative's
For removing one cube on the edge of prism,
1 surface of prim = 9 surfaces of cube
Surface area after removing cube on each side,
= 6 × 11 = 66 square units
For removing cube on corner of prism,
1 surface of prim = 9 surfaces of cube
Surface area after removing cube on corner,
= 6 × 9 = 54 square units
For removing center cube on each side,
1 surface of prim = 13 surfaces of cube
Surface area after removing cube on corer on the prism,
= 6 × 13 = 78 square units
Surface area after removing corner cube on prism = 78 square units
Result:
The greatest possible surface area of the prism is 78 square units, it is obtained by removing center cube on each side of the prism.
