Question

the two equal cubes having Total surface area 2662 cm³ are joined a side by side find the total surface area of the resulting solid​

Answer 1

Answer:

Given, four identical cubes are joined end to end to form a cuboid. Let the side of cube be a, then length of cuboid thus formed be 4a ,breadth be a, height be a. Surface area of resulting cuboid be 648cm

2

.

Total surface area of resulting cuboid=2(lb+bh+lh)

or,648=2(4a×a+a×a+4a×a)

or,648=2(9a

2

)

or,648=18a

2

or,a

2

=36

or,a=6cm

Length of edge of cube=6cm

Surface area of cube=6a

2

=6×6

2

=216cm

2

Ratio of surface area of resulting cuboid to cube=

216cm

2

648cm

2

=3:1