What is the change in TSA of a cuboid if ‘a’ is doubled, ‘b’ tripled, ‘c’ halved?
Answers
Answered by
12
Answer:
27 times
Step-by-step explanation:
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let the edge be x
a- volume of cube = l^3
(2x)^3
8x^3
therefore the no of times the volume increased=8x^3/x^3
= 8 times
2- if halved
volume=(x/2)^3
=x/8^3
therefore the no of times the volume decreased=1/8x^3/x^3
=1/8 times
3- tripled
new l = 3x
volume= (3x)^3
=27x^3/x^3
= 27 times
Answered by
4
Answer:
Step-by-step explanation:
For a cube, V = a³ and TSA = 6a²
If edge is doubled, V = 2³a³ and TSA = 6(2²a²)
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.
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