If the capacity a cuboidal tank is $1000$ cc, what will be its lateral surface area in cm $^{2}$ ?

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Solution

Capacity of the tank $= 1000$ cc
Which means the volume of the tank $= 1000$ cm $^{3}$

If the side of the tank $= s$ cm,
We can find the side of a tank from the volume of a tank as follows
Then, $s^{3} = 1000$
$⟹ s = \sqrt[3]{1000} = \sqrt[3]{10 \times 10 \times 10} = 10 c m$

Thus, the lateral surface area of the cube $= 4 \times s^{2} = 4 \times 10 \times 10 = 4 \times 100 = 400 c m^{2}$

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If the capacity a cuboidal tank is 1000 cc, what will be its lateral surface area in cm2?

Capacity of the tank =1000 cc Which means the volume of the tank =1000 cm3 If the side of the tank =s cm, We can find the side of a tank from the volume of a tank as follows Then, s3=1000 ⟹s=3√1000=3√10×10×10=10 cm Thus, the lateral surface area of the cube =4×s2=4×10×10=4×100=400 cm2

If the capacity a cuboidal tank is $1000$ cc, what will be its lateral surface area in cm $^{2}$ ?