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.
Answer:
Slope Formula:
Step-by-step explanation:
It is wise to remember this formula. It is one of the most important formulas in Algebra and is fundamental in higher level math courses.
We use this formula to determine the slope, or the average rate of change between 2 points.