Three cubes each of side 2.5 cm are joined end to end. The surface area of resulting solid is
Answers
Answer
The surface area of resulting solid is= 87.5 square cm
Explanation
It is given that three cubes of side = 2.5cm.
These three cubes are joined end to end
We get cuboid with length =3 x 2.5 = 7.5 cm
Breadth = 2.5 cm and height =2.5cm
Here breadth and height are equal,
So this cuboid have 4 equal face with dimension 7.5 x 2.5
and other two face are equal with dimension 2.5 x 2.5
So the surface area of resulting solid = 4x ( 7.5 x 2.5) + 2(2.5 x2.5) =87.5 square cm
Length = 2.5 x 3 = 7.5 cm
Breadth = 2.5 cm
Height = 2.5 cm
Total surface area = 2(LB + BH + LH)
Total surface area = 2(7.5 x 2.5 + 2.5 x 2.5 + 7.5 x 2.5)
Total surface area = 2(18.75 + 6.25 + 18.75)
Total surface area = 2(43.75)
Total surface area = 87.5 cm³
Answer: Surface Area = 87.5 cm³