Question

if length and width of a shoe box are 4cm each.its volume is 48cm.what is the height of the box?​

Answer 1

★Given:-

• Length of the shoebox = 4cm
• Width of shoebox = 4cm
• Volume = 48cm³

★To find:-

$\bullet\qquad \bf Height \ of \ the \ box.$

★Solution:-

Shoebox is in the shape of cuboid.

We know that,

$\qquad\qquad\bigstar\boxed{ \sf Volume \ of \ cuboid = LWH}\bigstar$

Here, L is Length, W is Width, and H is height.

Using this formula,

$\implies\sf 48cm^3 = 4cm \times 4cm \times h \qquad\qquad ....[h \ is \ height]$

$\implies\sf 48cm^3 = 16cm^2 \times h$

$\implies\sf 48cm^3 = 16cm^2h$

$\implies\sf h = \dfrac{48cm^3}{16cm^2} = 3cm$

$\qquad\qquad\bigstar\boxed{ \bf Height = 3cm }\bigstar$

$\mathcal{HOPE \ IT \ HELPS}$