Question

Two cubes each of side 10 cm are joined together.
a) Find the total surface area and lateral surface area of the cuboid formed.
b) Is the surface area of a cuboid equal to the sum of the surface areas of both cubes?

Answer 1

Step-by-step explanation:

(1.)first cube side =10cm

second cube side =10cm

join cube together to make a cuboid

whose side is length =20cm

breath =10cm

height =10cm

total surface area = 2(l×b+b×h+h×l)

= 2(20×10+10×10+10×20)

= 2(200+100+200)

= 2×500

=1000cm^2

Lateral surface area = 2h(l+b)

= 2× 10(20+10)

= 20× 30

= 600cm^2

(2.) lateral surface area of cuboid = both cube lateral surface area

600= 2×4×a^2

600= 8×10×10

600=800

not equal