Question

A carpenter makes a letter box which has the volume of 15000 cubic centimeter. The base has an area of 750 sq. cm., what is the height of the letter-box?​

Answer 1

Given :

• volume of letter box = 15000 cm³
• base area of letter box = 750 cm²

To Find :

• height of the letter box ?

Solution :

the letter box is in the shape of cuboid.

and we know that, if

• length = l
• breadth = b
• height = h

$\boxed{\bold{volume \: of \: cuboid = lbh}}$

${\tt{ : \implies 15000 = lbh}} \: .......(i)$

and we know that,

$\boxed{ \bold{base \: area \: = lb}}$

now, put the value of “lb” in (i)

$\tt{: \implies 15000 = 750 \: h } \\ \\ \tt{ : \implies h = \cancel\frac{15000}{750} } \: \: \: \: \: \: \: \\ \\ : \implies \red{\tt{ h =20 } }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

so, height of the letter box is 20 cm