Question

A cube has its surface area 600cm square cut into 4 identical cubes. Find the length of side of each cube.

Answer 1

Answer:

tsa of cube=6*side*side

600=6*side*side

side=10cm

volume of cube=side*side*side

=1000cm3

volume of 4 identical cube=1000/4

=250cm3

volume of single cube=side^3

250=side^3

side=6.3cm

Answer 2

The length of side of each cube is 6.29 cm

Step-by-step explanation:

Total surface area of cube =$6a^2$

Where a is the side

A cube has its surface area 600cm square

$6a^2 = 600$

$a^2=\frac{600}{6}$

$a^2=100$

$a=\sqrt{100}$

a=10

Volume of cube = $Side^3$

Volume of cube = $10^3$

Volume of cube = $1000 cm^3$

Cube is divided into 4 identical cubes.

So, Volume of 1 cube =$\frac{1000}{4}$

Volume of 1 cube = $250 cm^3$

Volume of cube = side ^3

So, $Side^3 = 250$

$Side = \sqrt[3]{250}$

Side =6.29

Hence the length of side of each cube is 6.29 cm

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