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Helen [10]
3 years ago
15

If a cube with the length of the side of 4 cm is cut into smaller cubes with the length of the side of 1 cm, then what is the pe

rcentage increase in the surface area of the resulting cubes?
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
6 0

Answer:

300 %

Step-by-step explanation:

Length of the larger cube =4 cm

So volume V=side^3=4^3=64cm^3

Length of the smaller cube = 1 cm

Volume of the smaller cube V=side^3=1^3=1cm^3

So total number of smaller cube =\frac{64}{1}=64

Surface area of the larger cube A=6\times side^2=6\times 4^2=144cm^2

Surface area of the 64 smaller cube A=64\times 6\times side^2=64\times 6\times 1^2=384cm^2

So percentage increase in surface area =\frac{384-96}{96}\times 100=300 %

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