Question

If a cube has total surface area is 2400m² then how much L liquid store in this cube tank​

Answer 1

Answer:

8000L

Step-by-step explanation:

tsa of cube is 6a2

6a2=2400m2

a2=2400/6

a2=400

a=20m

volume = a3

(20)^3=8000L

Answer 2

$\sf{\red{\underline{\underline{\purple{Question:-}}}}}$

If a cube has total surface area is 2400m² then how much L liquid store in this cube tank

$\sf{\red{\underline{\underline{\purple{Solution:-}}}}}$

• Let length of a side of a cube = xcm
• T.S.A = $\sf 6a^2$---equ(1)

★ T.S.A= 2400 $\sf m^2----equ(2)$

★ According to question

★ equation (1) = equation (2)

$\sf→ 6a^2=2400\\\sf→ a^2=\frac{2400}{6}\\\sf→ a^2=400\\\sf→ a=\sqrt{400}\\\sf→ a=20cm$

We have to find out liquid store in a cube tank or volume =?

$\sf→ liquid\: contain \:or\:volume= a^3\\\sf→ liquid\: contain \:or\:volume = 20×20×20\\\sf→ liquid\: contain \:or\:volume= 8000m^3$

Hence,

capacity of a cubic tank is $\sf 8000 \:litre$