Question

The total surface area of cuboid of dimension a x a x b is

Answer 1

Given :-

• Lenght of cuboid = a

• Breadth of cuboid = a

• Height of cuboid = b

To Find :-

• Total surface area of the cuboid

Solution :-

$\implies\underline{ \boxed{\sf \purple{TSA \: of \: cuboid = 2(lb + bh + hl)}}} \\ \\ \implies \sf2(a \times a + a \times b + b \times a) \\ \\ \implies \sf2( {a}^{2} + ab + ab) \\ \\ \implies \sf2( {a}^{2} + 2ab) \\ \\ \implies \underline{ \boxed{ \sf\orange{2 {a}^{2} + 4ab}}}$

Answer 2

Given,

Dimensions of a cuboid;

Length = L = a units

Breadth = B = a units

Height = H = b units

To find,

The total surface area of the cuboid.

Solution,

We can simply solve this mathematical problem using the following process:

As per mensuration;

The total surface area of any cuboid

= 2 x (LB + BH + LH)

Now,

The total surface area of the cuboid

= 2 x (LB + BH + LH)

= 2 x (a x a + a x b + a x b)

= 2(a^2 + 2ab) square units

Hence, the total surface area of the cuboid is equal to 2(a^2 + 2ab) square units.