Question

Find the volume of a cubical cubical box falls whose surface area is 486 CM square

Answer 1

Answer:

Answer Expert Verified

hence, The volume of cubical box is 729 cm³.

Step-by-step explanation:

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Answer 2

Answer :

›»› The volume of a cubical box = 729 cm³

Given :

• Surface area of cubical box = 486 cm²

To Find :

• Volume of cubical box = ?

Required Solution :

Here in this question, we have to find volume of cubical So, firstly we have to find th edge of cubical box, after that w will find the volume of cubical box on the basis of conditions given above$.$

⇒ Surface area of cube = 486

⇒ 6a² = 486

⇒ a² = 486/6

⇒ a² = 81

⇒ a = √81

⇒ a = 9 cm

Now, we have one elements that used in formula,

• Edge of cubical box = 9 cm

And we need to find volume of cubical box.

We can find volume of cubical box by using the formula of volume of cube which says Volume of cube = a³

Here,

• a is the edge of cube.

So, let's find volume of cube.

⇛ Volume of cube = a³

⇛ Volume of cube = 9³

⇛ Volume of cube = 729 cm³

║Hence, the Volume of cube is 729 cm³.║