Question

solid cube of edge 15cm is melted into a cuboid of measures 25cm by 9cm. find the height of the cuboid.​

Answer 1

Answer:

15 cm

Step-by-step explanation:

Volume of the cube:-

${side}^{3}$

Applying all the values :-

$= > {15}^{3} = 15 \times 15 \times 15 = 3375 \: {cm}^{3}$

Now, let the height of the cuboid be x cm.

Volume of a cuboid :-

$l \times b \times h$

Where,

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

Applying all the values :-

$25 \times 9 \times x$

$= > {225x}^{3}$

Given volume is same :-

$3375 = {225x}^{3}$

$= > {x}^{3} = \frac{3375}{225} = 15 \: cm$

So, height of the cuboid is 15 cm.