Question

The volume of a box is 144 cm cube. Determine its height if its length and breadth are 9.6 cm and 5 cm respectively​

Answer 1

Answer :-

• The height of the box is 3 cm.

To find :-

• The height of the box.

Solution :-

• Here, the length, breadth and volume of a box are given to us. We have to find it's height! For this, we will use the formula required for finding the volume of a cuboid, as we are talking about a box.

We know that :-

$\underline{ \boxed{\sf Volume \: of \: a \: cuboid = L \times B \times H}}$

Where,

• L = Length.
• B = Breadth.
• H = Height.

Here,

• Volume = 144 cm³.
• Length = 9.6 cm.
• Breadth = 5 cm.

Let :-

• The height of the box be "h" cm.

Substituting the given values in this formula,

$: \longrightarrow\rm144 = 9.6 \times 5 \times h$

$\rm: \longrightarrow144 = 48 \times h$

$\rm: \longrightarrow144 = 48h$

$: \longrightarrow \rm \dfrac{144}{48} = h$

$: \longrightarrow \overline{ \boxed{\rm3 \: cm = h}}$

Hence :-

• The height of the box is 3 cm.

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