Question

The volume of the cube is 5832m2. Find it's lenght of it's side

Answer 1

Answer:

✡ Correct Question ✡

$\leadsto$ The volume of a cube is 5832m³. Find its length of its side.

✡ Given ✡

$\leadsto$ The volume of a cube 5832m³.

✡ To Find ✡

$\leadsto$ What is the length of its side.

✡ Solution ✡

✏ Consider the given volume of cube is 5832m³.

Now, let side of a cube is = x

➡ According to the question,

$\implies$ x³ = 5832

$\implies$ x = $\sqrt[3]{5832}$

$\implies$ x = $\sqrt[3]{18³}$

$\implies$ x = 18m

Hence, the length of its side is 18m.

Step-by-step explanation:

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Answer 2

Given :

• volume of the cube is 5832 m³

To find :

• lenght of each side of cube.

Formula used :

• V = a³

where :-

• a = lenght of each side of cube

• V = Volume of cube

Solution :

⟹ $V = {a}^{3}$

V is given as = 5832 m²

⟹ $5832 = {a}^{3}$

⟹ $\sqrt[3]{5832} = {a}$

⟹ $\sqrt[3]{2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 3 \times3} = {a}$

⟹ $2 \times 3 \times 3 = a$

⟹ $18 = a$

Therefore , a= 18

Answer :

lenght of each side of cube = 18 m

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Verification of answer :-

To verify the answer we will put a = 18 in the formula V = a³. If we get v = 5832 then our answer a = 18 is correct.

⟹v = a³

⟹v = (18)³

⟹v = 18 ×18×18

⟹v = 5832 m³

hence verified

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LEARN MORE :-

Volume of cylinder = πr²h

T.S.A of cylinder = 2πrh + 2πr²

Volume of cone = ⅓ πr²h

C.S.A of cone = πrl

T.S.A of cone = πrl + πr²

Volume of cuboid = l × b × h

C.S.A of cuboid = 2(l + b)h

T.S.A of cuboid = 2(lb + bh + lh)

C.S.A of cube = 4a²

T.S.A of cube = 6a²

Volume of cube = a³

Volume of sphere = 4/3πr³

Surface area of sphere = 4πr²

Volume of hemisphere = ⅔ πr³

C.S.A of hemisphere = 2πr²

T.S.A of hemisphere = 3πr²

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