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CBSE Class 8 Answered

If each edge of a cube is doubled, (1). how many times will its surface area increase ? (2). how many times will its volume increase?
Asked by amamta692 | 05 Mar, 2021, 04:37: PM
answered-by-expert Expert Answer
S u r f a c e space a r e a space o f space t h e space c u b e space S equals 6 a squared
i f space t h e space e d g e space i s space d o u b l e d space
t h e n space s u r f a c e space a r e a space w o u l d space b e space
6 open parentheses 2 a close parentheses squared
equals 6 cross times 4 cross times a squared
equals 4 S
V o l u m e space o f space t h e space c u b e comma V equals a cubed
n e w space V o l u m e equals open parentheses 2 a close parentheses cubed
equals 8 a cubed
equals 8 V
h e c e space t h e space s u r f a c e space a r e a space i s space 4 space t i m e space t h e space o l d space s u r f a c e space a r e a space a n d space n e w space v o l u m e space w o u l d space b e space 8 space t i m e s space t h e space o l d space v o l u m e
Answered by Utkarsh Lokhande | 08 Mar, 2021, 01:47: PM

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