Question

A rectangular block of metal is 0.24 m long,
0.19 m wide and 0.15 m high. If the metal block is
melted to form a cube, find the length of each side
of the cube.​

Answer 1

Answer:

Step-by-step explanation:

Given

dimensions of the rectangular block=0.24m,0.9m and 0.15m

volume of the rectangular block =l×b×h

=》(0.24×0.9×0.15)cubic metre

=》0.0324 cubic metre

Now after melting the rectangular block into cube ,we have,

volume of the cube= volume of the rectangular block

=》(a)^3=0.0324 cubic metre

=》a=root under (0.0324 cubic metre)

=》a =0.18m

Hence the length of the each side of the cube =0.18m

Answer 2

Answer: he required length of each side of the cube is approximately 0.1898 m

Step-by-step explanation:

A rectangular block of metal is 0.24 m long, 0.19 m wide and 0.15 m high.

The metal block is melted to form a cube                                                                              

Solution :

Let "l" be the length of the rectangular block

and b and h are width and height of the rectangular block respectively.

So,

l = 0.24 m

b = 0.19 m

h = 0.15 m

Since the rectangular block is melted to form a cube, the volume does not change.

So, Volume of rectangular block = Volume of the cube

Let's find the volume of rectangular block first.

Volume of the rectangular block = length × width × height

Substitute the values,

➙ Volume of the rectangular block = l × b × h

➙ Volume of the rectangular block = 0.24 m × 0.19 m × 0.15 m

➙ Volume of the rectangular block = 24 × 19 × 15 × 10⁻⁶ m³

➙ Volume of the rectangular block = 6840 × 10⁻⁶ m³

Let "a" m be the length of each side of the cube.

Volume of the cube = (side)³

➙ Volume of the cube = (a m)³

➙ Volume of the cube = a³ m³

Now, equal their volumes.

Volume of rectangular block = Volume of the cube

➛ 6840 × 10⁻⁶ m³ = a³ m³

➛ 6840 × 10⁻⁶ = a³

Therefore, the length of each side of the cube is approximately 0.1898 m