Question

Cubical boxes of volume $15625c{m}^3$ each are put in a cubical store of side 2.5 m
i) How many such boxes can be put in the stores?
ii) What are the dimensions of the box?

• A. $\left(i\right)1250\left(ii\right)15$ cm
• B. $\left(i\right)1000\left(ii\right)15$ cm
• C. $\left(i\right)1250\left(ii\right)25$ cm
• D. $\left(i\right)1000\left(ii\right)25$ cm

Answer 1

The correct option is D $\left(i\right)1000\left(ii\right)25$ cm

Volume of the store $={2.5}^3=15.625m^3=15,625,000c{m}^3$

Volume of the cubic box $=15625c{m}^3$

$i)$ Number of boxes $=\frac{Volumeofthestore}{Volumeofonebox}=\frac{15625000}{15625}=1000$.

$ii)$ Dimensions of the box $=\sqrt[3]{3Volume}=\sqrt[3]{315625}=25cm$.

So, the answer is $\left[D\right]$.