Question

Three metallic cubes whose sides are 10 cm, 15 cmand 20 cm, respectively, are melted and transformed into a single cube. Find the side of the new cube.​

Answer 1

Given,

Three metallic cubes whose sides are 10 cm, 15 cm and 20 cm respectively, are melted and transformed into a single cube.

To find,

side length of the new cube.

sum of volumes of cubes = volume of the new cube

⇒(10cm)³ + (15cm)³ + (20cm)³ = (side length)³

⇒1000 cm³ + 3375 cm³ + 8000 cm³ = (side length)³

⇒12375 cm³ = (side length)³

⇒side length = (12375)⅓ = 23.13 cm

Therefore side length of the new cube is 23.13cm