Question

The length of a cuboid is thrice the breadth and twice the length.if the volume of a box is 750 cm3 then find the measure of the box.​

Answer 1

Step-by-step explanation:

Let b is breadth and l is length of the cuboid such that,

Length, l = 3b and l = 2h

or

h = l/2

We know that, the volume of a cuboid box is given by :

V = lbh

Put all the values,

$V=l\times \dfrac{l}{3}\times \dfrac{l}{2}\\\\750=l\times \dfrac{l}{3}\times \dfrac{l}{2}\\\\750\times 6=l^3\\\\l=(750\times 6)^{1/3}\\\\l=16.5\ cm$

Breadth, b = 16.5/3 = 5.5 cm

Height, h = 16.5/2 = 8.25 cm

Hence, this is the required solution.