a cube of 16 cm is cut into smaller cubes each of side 4 cm. what is the increase in total surface area?
Answers
Answered by
3
Hey mate..
=========
Given,
Side of the larger cube = 16cm
When we cut this larger cube into 4 smaller cubes we will get ,
Side of the each smaller cube = 4cm
Now,
Surface area of the larger cube = 6 (Side)^2
= 6 (16)^2
= 6 × 256
= 1536 cm^2
Also,
Surface area of the 4 smaller cubes = 4 × 6(Side)^2
= 24 × (4)^2
= 24 × 16
= 384 cm^2
Now,
Increase in Surface area
= Surface area of the larger cube - Surface area of the smaller cube
= ( 1536 - 384 ) cm^2
= 1152 cm^2
Hope it helps !!!
=========
Given,
Side of the larger cube = 16cm
When we cut this larger cube into 4 smaller cubes we will get ,
Side of the each smaller cube = 4cm
Now,
Surface area of the larger cube = 6 (Side)^2
= 6 (16)^2
= 6 × 256
= 1536 cm^2
Also,
Surface area of the 4 smaller cubes = 4 × 6(Side)^2
= 24 × (4)^2
= 24 × 16
= 384 cm^2
Now,
Increase in Surface area
= Surface area of the larger cube - Surface area of the smaller cube
= ( 1536 - 384 ) cm^2
= 1152 cm^2
Hope it helps !!!
Abhishek1993:
nope
wrong answer
plz..tell me how to rectify it !
answer is one of the following:
240, 360, 720, 280
which one is the right answer?
Answered by
0
Answer:Given,
Side of the larger cube = 16cm
When we cut this larger cube into 4 smaller cubes we will get ,
Side of the each smaller cube = 4cm
Now,
Surface area of the larger cube = 6 (Side)^2
= 6 (16)^2
= 6 × 256
= 1536 cm^2
Also,
Surface area of the 4 smaller cubes = 4 × 6(Side)^2
= 24 × (4)^2
= 24 × 16
= 384 cm^2
Now,
Increase in Surface area
= Surface area of the larger cube - Surface area of the smaller cube
= ( 1536 - 384 ) cm^2
= 1152 cm^2
Hope it helps !!!
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