the side of a cube is doubled then what happens to LSA,TSA and volume .who will say I will mark as brainliest.....
Answers
Step-by-step explanation:
When edges are doubled, volume increases 8 times while TSA increases 4 times. When trebled, V increases 27 times while TSA increases 18 times. When halved, V decreases by one-eighth times while TSA decreases by one- fourth times.
Answer:
Step-by-step explanation:
Let's take the side of the cube be x.
Then , Lateral Surface Area (LSA) of cube= 4x^2=L ----------(1)
Total Surface Area(TSA) of cube=6x^2=T -----------(2)
Volume of the cube= x^3=V -----------(3)
If the side of the cube is doubled ,then,
New side of the cube= 2x
New Lateral Surface Area(LSA)= 4 (2x)^2
= 4*4x^2
= 4L [ by 1}
New Total Surface Area(TSA) = 6 (2x)^2
= 4*(6x)^2
= 4T [ by 2 ]
New Volume = (2x)^3
= 8x^3
= 8V [by 3]
Therefore , if the side of the cube is doubled, then its TSA ,LSA and Volume will become 4,4 and 8 times its initial values respectively.