Question

Three cubes each of side 10 cm are joined end to end. Find the surface area of the resultant figure.

Answer 1

Answer:

1. h=10cm
2. breadth=10cm
3. length=3×10=30 because three cubes one cube 10cm so three cubes 10cm
4. Area of cuboid=2(lb+bh+lh)
5. 2(30×10+10×10+30×10)
6. 2(300+100+300)
7. 2(700)
8. 1400cm2.

Answer 2

Given:

The side of the cube=10cm

To find:

The surface area on joining three cubes from end to end

Solution:

The surface area on joining three cubes from end to end is 1400 $cm^{2}$.

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

We know that on joining three cubes, a cuboid is obtained.

The length of the new cuboid is the sum of the lengths of all three cubes.

The width and height of the cuboid remain the same as that of the cube.

We are given that the side of cube=10cm

So, the length of the cuboid=3×side of the cube

=3×10=30 cm

The width of the cuboid=Side of the cube=10cm

The height of the cuboid=side of the cube=10cm

The surface area of the cuboid=2(length×width+width×height+height×length)

On putting the values,

The surface area of the cuboid=2(30×10+10×10+10×30)

=2(300+100+300)

=2(700)

=1400 $cm^{2}$

Therefore, the surface area on joining three cubes from end to end is 1400 $cm^{2}$.