Question

The given cuboid is
made from several
identical cubes.
If
the volume of the
cuboid is 384 m
what will be the
surface area (in mº)
of each cube given
that sides of cube
are integers?​

Answer 1

Answer:

32 will be the answer

Step-by-step explanation:

happy !!!

Answer 2

Given: The given cuboid is made from several identical cubes. If the volume of the cuboid is 384 m.

To find: The surface area (in mº) of each cube given that sides of cube are integers.

Solution: The surface area (in m²) of each cube given that sides of cube are integers is 6m².

The smallest cube that can be formed such that the side is an integer is a cube with the side equal to 1 m. Now, the volume of the cube can be calculated as shown below.

$Vol = 1*1*1$

      $= 1 \: m^{3}$

Thus, the number of small cubes that form the cuboid can be calculated as shown below.

$\frac{384}{1} = 384$

Now, the surface area of a cube can be calculated by multiplying 6 by the square of the length of the side. This is because a cube has 6 faces.

$surface \: area = 6*(1m)^{2}$

                     $= 6 m^{2}$

Therefore, the surface area (in m²) of each cube given that sides of cube are integers is 6m².