Question

how many showcase each of diameter 7 cm multiply 5 multiply 2.5 CM can be placed in a box of dimensions 56cm multiply 40 cm multiply 25 CM​

Answer 1

Answer:

The number of showcase placed in box is 640

Step-by-step explanation:

Given as :

The dimension of showcase

L = 7 cm

B = 5 cm

H = 2.5 cm

So, Volume of showcases = L × B × H

I.e Volume of showcases = 7 cm × 5 cm × 2.5 cm

Or, Volume of showcases = 87.5 square cm

Let The number of showcase placed inside box = n

Again

The dimension of box

L = 56 cm

B = 40 cm

H = 25 cm

So, Volume of box = L × B × H

I.e Volume of box = 56 cm × 40 cm × 25 cm

Or, Volume of box = 56000 square cm

Now. Number of showcase placed in box = $\dfrac{volume of box}{volume of showcase}$

Or, n = $\dfrac{56000}{87.5}$

∴ n = 640

So, The number of showcase placed in box = n = 640

Hence, The number of showcase placed in box is 640 . Answer