Question

two cubes with 6cm edge are joined end to end.find lsa of resulting shape

Answer 1

Answer:

lsa.of.one cube = 4a^2 = 4 × 6 x 6 = 144 cm^2

lsa of 2 cubes = 8 sides.area =.8a ^2 = 8 x 6 x 6 = 288cm^2

Answer 2

Given

Two cubes with 6cm edge are joined end to end.

To find

find LSA of resulting shape

Solution

If two cubes are joined end to end then resulting shape is cuboid

So, Dimensions of resulting shape

• Length = 6 + 6 = 12cm
• Breadth = 6cm
• Height = 6cm

Lateral surface area of cuboid

= 2 ( length + breadth ) × height

= 2 ( 12 + 6 ) × 6

= 2 × 18 × 6

= 12 × 18

= 216cm²

Required area of cuboid = 216cm²

Some Formulae

• Volume of cuboid = l × b × h
• Volume of cube = a³
• LSA of cuboid = 2(l + b)×h
• LSA of cube = 4a²
• TSA of cuboid = 2(lb + bh + lh)
• TSA of cube = 6a²