Question

Q13. The volume of a cubical box is 13.824 cubic meters. Find the length of each side of the box

Answer 1

Answer:

it's a question of basic equations in one variable Let us assume that the side of the cube is I meter as they all are identical.

now,

for a cube of side I,

volume

13 13.824

1 = √13.824

1 = 2.4

so the length of one side of cube is 2.4 meter

Answer 2

Given:-

• The Volume of a Cubical Box is 13.824 m³.

To Find:-

• Length of each side of the box.

Formula Used:-

• ${\boxed{\bf{Volume\:of\:Cube=a^3}}}$

Here,

• a = Side of the Square

Solution:-

$\sf :\implies\:Volume\:of\:Box=a^3$

$\sf :\implies\:13.824=a^3$

$\sf :\implies\:a= \sqrt[3]{13.824}$

$\bf :\implies\: a=2.4\:m$

Hence, The length of each side of the cubical box is 2.4m.

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More Formulas related to Cube:-

• $\bf Total Surface Area=6a^2$

• $\bf Lateral Surface Area=4a^2$

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