The edge of a cubical box is 6 cm. Half of the box is filled with sand. What is the volume of the sand ?
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Answer:108 cm^3
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Given,
The length of each edge of a cubical box = 6 cm
Half of the box is filled with sand.
To find,
The volume of the sand.
Solution,
We can simply solve this mathematical problem using the following process:
Mathematically, as per mensuration;
The volume of the cube = (length of each edge)^3
According to the question;
The volume of the cubical box
= (length of each edge)^3
{according to statement-1}
= (6 cm)^3 = 216 cm^3
Now, according to the question;
Half of the box is filled with sand.
=> Volume of sand filled = half of the volume of the box = (216 cm^3)/2 = 108 cm^3
=> volume of the sand = 108 cm^3
Hence, the volume of the sand is equal to 108 cm^3.
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