Question

Find volume of cube whose surface area is 150 meter square

Answer 1

hiii!!!

here's Ur answer...

let the side of the cube be "a".

given the TSA (surface area) of the cube = 150m³

therefore 6a² = 150m²

==> a² = 150/6

==> a² = 25

==> a = √25

==> a = 5

hence, side of the cube is 5m

volume of the cube = side³

= 5 × 5 × 5

= 25 × 5

= 125m³

hope this helps...!!

Answer 2

Answer:

★ Required Solution :

Let, the length of each edge of the given cube be X metres.

Then, Surface area = m²

$\pink{\implies}6 {x}^{2} = 150$

$\pink{\implies} {x}^{2} = \frac{150}{6} = 25$

$\pink{\implies}x = \sqrt{25} = \sqrt{5 \times 5} = 5$

∴ Volume of the cube = x³ Cubic metres

= 5³ Cubic metres

$\purple{\longrightarrow}(5 \times 5 \times 5) \mathtt \blue{{cubic \: \: metres}}$

$\red { \implies} \mathtt{ \green{125} \: \pink{cubic \: \: metres.}}$

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