What will be the surface area of the resulting solid if three cubes each of side 5 cm are joined end to end?

What will be the surface area of the resulting solid if three cubes each of side 5 cm are joined end to end?

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Given:

Length of each side of cube = 5 cm

Formula used:

Surface area of the cuboid = 2(LB + BH + HL)

Where,

L = length of the cuboid

B = breadth of the cuboid

H = height of the cuboid

Calculation:

Now, 3 cubes are joined end to end

The length of the resulting cuboid will be = 5 + 5 + 5 = 15 cm

But, the breadth and height will remain the same.

Breadth = 5 cm and Height = 5 cm

Surface area of the cuboid = 2(LB + BH + HL)

⇒ Surface area of the cuboid = 2(15 × 5 + 5 × 5 + 5 × 15)  = 2(75 + 25 + 75)

⇒ Surface area of the cuboid = 350 cm2

∴  The surface area of the resulting solid is 350 cm2

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A metallic right circular cone 20 cm high and whose vertical angle is 60° is cut into two parts at the middle of its height by a plane parallel to its base. If the frustum so obtained be drawn into a wire of diameter

What will be the surface area of the resulting solid if three cubes each of side 5 cm are joined end to end?
, find the length of the wire.

In fig. cone ABC is cut out by a plane parallel to the base FG. DEFG is the frustum so obtained. Let O be the centre of the base of the cone and O’ the centre of the base of the frustum.

What will be the surface area of the resulting solid if three cubes each of side 5 cm are joined end to end?



It is given that ∠BAC = 60° ∠OAC = 30°

In right triangle AOC, tan 
What will be the surface area of the resulting solid if three cubes each of side 5 cm are joined end to end?

What will be the surface area of the resulting solid if three cubes each of side 5 cm are joined end to end?

And, C =  

What will be the surface area of the resulting solid if three cubes each of side 5 cm are joined end to end?


Height of the frustum = P'O = 
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 volume of the frustum = 

What will be the surface area of the resulting solid if three cubes each of side 5 cm are joined end to end?

                                         

What will be the surface area of the resulting solid if three cubes each of side 5 cm are joined end to end?


Radius of the wire = 
What will be the surface area of the resulting solid if three cubes each of side 5 cm are joined end to end?
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What will be the surface area of the resulting solid if three cubes each of side 5 cm are joined end to end?

From (iii) and (iv), we get

What will be the surface area of the resulting solid if three cubes each of side 5 cm are joined end to end?