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.
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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
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