Question

a Godown is formed of cuboid dimensions 60m , 80m and 30m how many cubical box can be stored if the side of cube is 40m.

Answer 1

Given:-

• Length of cuboid = 60 m
• Breadth of cuboid = 80 m
• Height of cuboid = 30 m

• Side of cube = 40m

Find:-

Number of cubical boxes.

Solution:-

A godown is formed in the formed of cuboid having dimensions 60m, 80m and 30m.

$\sf{\bold{\boxed{Volume \:of\:cuboid\:=\:length \:\times\:breadth \:\times\:height }}}$

Substitute the known values in above formula

=> 60 × 80 × 30

=> 144000 m³

$\sf{\bold{\boxed {Volume \:of\:cube\:=\:(side)^2}}}$

=> (40)²

=> 1600 m³

Now,

$\bold{Total \:number\: of\: boxes\:=\:\frac{Volume \:of\:cuboid}{Volume \:of\:cube}}$

=> $\dfrac{144000}{1600}$

=> $\sf{90}$

•°• Number of boxes = 90.

Answer 2

ANSWER:-

FOR CUBOID WE HAVE:

ALL THE THREE DIMENSIONS:-

▪LENGTH =60m

▪BREADTH =80m

▪HEIGHT=40m.

VOLUME:- l×b×h = 60×80×30=144,000m^3

ALSO, SIDE OF THE CUBE IS GIVEN AS 40m.

VOLUME:- (SIDE)^2=(40)^3=1600m^3

NOW,

THE NUMBER OF CUBICAL BOX TO BE STORED IF THE CUBE HAVE SIDES AS 40m.

SO, TOTAL NUMBER OF CUBICAL BOXES THAT CAN BE STORED =VOLUME OF CUBOID/VOLUME OF CUBE

=>144000/1600

=>90