Question

Please solve this question tomorrow is my test​

Answer 1

Volume of initial cuboid having dimensions

1cm × 5cm × 9cm

will be:-

1 × 5 × 9

= 45 cubic cm.

The cuboid is melted and reshaped in another cuboid so volume will be equal of both cuboids.

Given that breath of final cuboid = 5cm .

And length and height of the final cuboid are equal .

So,

$volume \: of \: final \\ \: cuboid \: = l \: \times \: b \: \times h \\ = l \times 5 \: \times l$

As, length and height are is equal

Also ,

volume = 45 cubic cm.

i.e.

$5 {l}^{2} = 45 \\ \implies {l}^{2} = \frac{45}{5} = 9\\ \implies \: l = \sqrt{9} = 3cm$

so, length and height of the final cuboid will be

length and height of the final cuboid will be 3cm.