Question

The solid cube of Edge 10 cm is melted and cast into a cuboid whose base measure 20 CM by 10 cm. Find the height of cuboid

​

Answer 1

$\huge{\mathfrak{\underline{\underline{Answer :}}}}$

5 cm is the answer for given question

$\huge{\mathfrak{\underline{\underline{Solution:}}}}$

Volume of Cube = Side³

                            = (10 cm)³

                            = 1000 cm³    [1]

This is melted and cast into the Cuboid. The Volume of Cuboid so made will be equal to the Volume of the Cube.

Let the height of the cuboid be h cm.

Then,

Volume of Cuboid = l × b × h

                               = 20 × 10 × h

                               = 200h      [2]

Equating (1) and (2)

We have 200h = 1000

                      h = 1000/200

                      h = 5

Hence, the height of the cuboid is 5 cm.

Answer 2

Answer:-

Height = 5cm

Explanation:-

Given:-

• Side of cube (a) = 10cm
• Length cuboid (l) = 20cm
• breadth of cuboid (b) = 10cm

To Find:-

height of cuboid

Solution:-

Since, cube is melted and recasted into cuboid

Volume of cube = volume of cuboid

${\rightarrow} {a}^{3} = lbh$

${\rightarrow}{10}^{3} = 20 \times 10\times h$

${\rightarrow}1000 = 200 \times h$

${\rightarrow}h = 5cm$