Question

Hree cubes of metals whose edges are 3, 4 and 5 cm respectively are melted and formed into a single cube. If there is no loss of metal in the process, find the side of the new cube. 6 cm3 cm9 cm5 cm

Answer 1

$\large{cubesofmetalwhoseedges=3cm,4cm,5cm}$

$volume \: of \: first \: cube = (a) {}^{3} \\ = (3) {}^{3 } \\ = 27cm {}^{3}$

$volume \: of \: second \: cube = (4cm) {}^{3} \\ = 64cm {}^{3}$

$volume \: of \: third \: cube = (5cm) {}^{3} \\ = 125cm {}^{3}$

$\large{</strong><strong>addingthevolumes</strong><strong>}$

$volume \: of \: the \: large \: cube =( 9 + 64 + 125)cm {}^{3} \\ = 198cm {}^{3}$

$\large{edgeofthelargecube}$

$198cm {}^{3} = a {}^{3} \\ \sqrt[3]{198cm {}^{3} } = a \\ \\ 5.8284cm \: approx = a$

Answer 2

Answer:

hree cubes of metal whose edges are 3, 4 and 5 cms respectively, are melted and formed into a single cube. Find the edge of the new cube formed.

Step-by-step explanation: