Question

four cubes each of side 2 cm are joined end to end. find the surface area of the resulting cuboid​

Answer 1

Here is your answer...

please see the attached picture
( 72 cm² not cm³)

Answer 2

Given:

Edge of cube=2cm

To find:

The surface area of the resulting cuboid​

Solution:

The surface area of the resulting cuboid​ is 72 $cm^{2}$.

We can find the area by taking the steps given below-

We know that 4 identical cubes are placed together to form a cuboid.

So, the length of the cuboid will be the sum of the edges of the 4 cubes.

The length of the cuboid=4×edge of the cube

=4×2=8cm

The width and the height of the cuboid will be the same as the edge of the cube.

So, the width and height of the cuboid=edge of the cube=2cm

Now, the surface area of the resulting cuboid=2(product of length and width+product of width and height+product of height and length)

On putting the values, we get

The surface area of the resulting cuboid=2(8×2+2×2+2×8)

=2(16+4+16)

=2(36)

=72 $cm^{2}$

Therefore, the surface area of the resulting cuboid​ is 72 $cm^{2}$.