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The 16giga-byte (GB=2^30 bytes) flash memory chip for an MP3player is 11mm by 15

ID: 1813821 • Letter: T

Question

The 16giga-byte (GB=2^30 bytes) flash memory chip for an MP3player is 11mm by 15mm by 1mm. This memory chip holds 20,000photos. a) How many photos fit into a cube whose sides are 1mm? b) How many bytes of memory are stored in a cube whose sidesare 200 micro meter? The 16giga-byte (GB=2^30 bytes) flash memory chip for an MP3player is 11mm by 15mm by 1mm. This memory chip holds 20,000photos. a) How many photos fit into a cube whose sides are 1mm? b) How many bytes of memory are stored in a cube whose sidesare 200 micro meter?

Explanation / Answer

a) in 1 mm cube can fit 121 photos

sol:20,000/(11*15)=121

b)the total volume of cube is 165 mm3 stores 16*2^30 bytes(given)

for 200micro meter each side the total volume is 200*200*200 micro meter^3=8*10^-3 mm3

for this much volume the total memory required=((8*10^-3)*(16*2^30 ))/165=7.75e-4 *2^30 bytes