what is the height of a cuboid box of length 28.5 cm breadth 16.5 cm and lateral surface area 1350 square
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Class 9
>>Maths
>>Surface Areas and Volumes
>>Volume of Cube, Cuboid and Cylinder
>>The total surface area of a cubical box
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The total surface area of a cubical box is 486 cm
2
. Find the volume of the box.
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Solution
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Given that, the total surface area of a cubical box is 486 cm
2
To find out: Volume of the box.
Let a be the side of the cubical box.
We know that the total surface area of a cuboid is 6a
2
∴ 6a
2
=486
⇒a
2
=
6
486
⇒a
2
=81
∴ a=9 cm
We also know that, the volume of a cuboid is a
3
∴ Volume of the box =9
3
⇒729 cm
3
Hence, the volume of the given cuboidal box is 729 cm
3
.
Step-by-step explanation:
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Answer:
ans is 15 cm
Step-by-step explanation:
ans is 15cm
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