Question

Three equal solid cubes of edge 2 cm each are joined end to end. The surface area of the resulting cuboid is -​

Answer 1

$\large\underline{\sf{Solution-}}$

Given that,

➢ Three equal solid cubes of edge 2 cm each are joined end to end.

➢ So, when cubes are joined together, they form a cuboid, whom dimensions are as

$\red{\rm :\longmapsto\:Length_{(cuboid)}, \: l = 2 \times 3 = 6 \: cm}$

$\red{\rm :\longmapsto\:Breadth_{(cuboid)}, \: b = 2 \: cm}$

$\red{\rm :\longmapsto\:Height_{(cuboid)}, \: h = 2 \: cm}$

We know,

$\green{\boxed{ \bf \:TSA_{(cuboid)} = 2(lb + bh + hl)}}$

where,

TSA = Total Surface Area of Cuboid

l = Length of Cuboid

b = Breadth of Cuboid

h = Height of Cuboid

So, on substituting the values, we get

$\rm :\longmapsto\:TSA_{cuboid} = 2(6 \times 2 + 2 \times 2 + 2 \times 6)$

$\rm :\longmapsto\:TSA_{cuboid} = 2(12 + 4 + 12)$

$\rm :\longmapsto\:TSA_{cuboid} = 2 \times 28$

$\bf :\longmapsto\:TSA_{cuboid} = 56 \: {cm}^{2}$

Additional Information

Cube: 

A cube is a three-dimensional shape has six faces, eight

vertices and twelve edges but all edges equal.

Cuboid: 

A cuboid also having six faces, eight vertices and twelve edges, not all edges equal.

Formula's of Cube :-

Total Surface Area = 6(side)²

Curved Surface Area = 4(side)²

Volume of Cube = (side)³

Diagonal of a cube = √3(side)

Perimeter of cube = 12 x side

Formula's of Cuboid

Total Surface area = 2 (Length x Breadth + breadth x height + Length x height)

Curved Surface area = 2 height(length + breadth)

Volume of the cuboid = (length × breadth × height)

lDiagonal of the cuboid =√(l² + b² + h²)

Perimeter of cuboid = 4 (length + breadth + height)

Answer 2

Answer:

56 cm^2

Step-by-step explanation:

Hope it helps you