Question

Three cubes of metal whose edges are 4 cm, 3 cm and
5 cm are melted and made a new cube. Select the
option that shows correctly the diagonal of new cube.
(A) 6 cm
(B) 62 cm (C) 63 cm (D) 9 cm​

Answer 1

Answer:

6√3 CM.

Step-by-step explanation:

3³ + 4³ + 5³ = 216 = 6³

DIAGONAL = 6√3 CM.

Answer 2

The diagonal of the new cube will be given by 6√3 cm.

Step-by-step explanation:

There are three metal cubes of side lengths 4 cm, 3 cm, and 5 cm. they are combined to form a single new cube.

So, the volume of the new cube will be = 4³ + 3³ + 5³ = 216 cubic cm.

So, each side of the new cube will be ∛(216) = 6 cm.

Therefore, the diagonal of the new cube will be given by $\sqrt{6^{2} + 6^{2} + 6^{2}} = 6\sqrt{3}$ cm. (Answer)