14. The lateral surface area of cube is 400cm, then the area of its each
surface is
a) 100cm b) 2000m ) SO0cm d) 150cm
Answers
Answer:
a) 100cm
Step-by-step explanation:
Answer:
a) 100 cm sq
Step-by-step explanation:
( The things in italics are for explanation and need not be done your notebook )
Total surface area of a cube=6(a^2)Lateral surface area means it's 4 sides without the top and bottom. Hence, we will subtract the area of the top and bottom surface of the cube. Then the lateral surface area we have is 6(a^2)- 2(a^2)= 4(a^2)
According to the sum, the lateral surface area is 400cm sq. Therefore,4(a^2) = 400 (a^2) = 100 ( dividing both sides with 4)
Note that each surface of a cube is also a sqaure.We are asked to find the area of each of its sqaure surface, the formula for which is
Surface area of a square = (a^2)
We have already found that out...
(a^2) = 100
Hence, your answer is 100cm sq.