Question

A cube of total surface area 864 cm² is melted and recast into
identical cuboids each of dimensions 6 cm x 9 cm x 4 cm. Find
the number of cuboids.
PLEASE ANSWER THE QUESTION FAST URGENT​

Answer 1

=> 8 cuboids

Step-by-step explanation:

First Lets Calculate The Side Of Cube :-

$= > \color{red}\bf{t.s.a \: of \: cube = 6 {a}^{2} } \\ = > 6 {a}^{2} = 864 \\ = > {a}^{2} = \frac{864}{6} \\ = > {a}^{2} = 144 \\ = > a = \sqrt{144} \\ = > \boxed{a = 12 \: cm}$

Now Number Of Cuboida Needed to Recast The Cube :-

$= > \bf{ \frac{volume \: of \: cube}{volume \: of \: cuboid} } \\ = > \frac{12 \times 12 \times 12}{6 \times 9 \times 4} \\ = > \boxed{8 \: boxes}$