
Find the volume of the cubical box whose surface area is 486 .
Answer
563.7k+ views
Hint: Here, we will first find the value of the edge with the given surface area and then the Volume of the cubical box can be calculated as .
Given,
Surface area of cubical box is 486 i.e.., where ‘a’ is the edge .Now let us find the value of the edge i.e..,
Hence, the obtained value of edge (a) is 9 cm. As we know that the volume of the cubical box is .
Therefore, substituting the obtained value of ‘a’ we get
Hence, the volume of the cubical box is 729 .
Note: Since, all the sides of a cubical box are equal. The volume of the cube is calculated by multiplying the value of a side 3 times i.e.., V=side*side*side.
Given,
Surface area of cubical box is 486
Hence, the obtained value of edge (a) is 9 cm. As we know that the volume of the cubical box is
Therefore, substituting the obtained value of ‘a’ we get
Hence, the volume of the cubical box is 729
Note: Since, all the sides of a cubical box are equal. The volume of the cube is calculated by multiplying the value of a side 3 times i.e.., V=side*side*side.
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