Question

Fimd the tsa are of cuboid 12cmlong 9cm broad 8cm height find the volume

Answer 1

Answer:

T.S.A of cuboid = 552 cm²

Volume of cuboid = 864 cm²

Step By Step Explanation:

Given:

Length of cuboid (l) = 12 cm

Breadth of cuboid (b) = 9 cm

Height of cuboid (h) = 8 cm

Now,

Surface Area = 2 (lb + bh + lh)

                   = 2 (12×9 + 9×8 + 12×8) cm²

                     = 2 (108 + 72 + 96) cm²

                     = 2 × 276 cm²

                = 552 cm²

Again,

Volume = l × b × h

            = 12 cm × 9 cm × 8 cm

         = 864 cm²

Hence, The total surface area and volume of cuboid are 552 cm² and 864 cm² respectively.

Answer 2

Answer:

$\boxed{\boxed{\mathbb{T.S.A}=552cm^2}}\\\\\boxed{\boxed{\mathbb{V}=864cm^3}}$

Step-by-step explanation:

Given :-

Length of the cuboid (l) = 12 cm .

Breadth of the cuboid (b) = 9 cm .

Height of the cuboid (h) = 8 cm .

T.S.A is the contracted form of Total Surface Area .

T.S.A of a cuboid is given by the formula :-

$\boxed{\mathsf{TSA=2(lb+bh+lh)}}$

Hence the T.S.A of the given cuboid is :

$\mathsf{S.A=2(12\times 9 +9\times8+12\times 8)cm^2}\\\\\implies \mathsf{S.A=2(108+72+96)cm^2}\\\\\implies \mathsf{S.A=2\times 276 cm^2}\\\\\implies \mathsf{S.A=552cm^2}$

Volume of a cuboid is given by :-

$\mathsf{Volume=lbh}$

$\mathsf{V=12\times 9\times 8cm^3}\\\\\implies \mathsf{V=108\times 8cm^3}\\\\\implies \mathsf{V=864 cm^3}$