Math, asked by forstudy202056, 6 months ago

Find the lateral surface area of a cuboid whose dimensions are 16 cm x 11.5 cm x 2.8 cm.
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Answers

Answered by EliteSoul
102

Given :

  • Dimensions of cuboid = 16 cm * 11.5 cm * 2.8 cm

To find :

  • LSA of cuboid

Solution :

Given,

Length of cuboid, l = 16 cm

Breadth of cuboid, b = 11.5 cm

Height of cuboid, h = 2.8 cm

Now we know that,

LSA of cuboid = 2 * (l + b) * h

⇒  LSA of cuboid = 2 * (16 + 11.5) * 2.8

⇒  LSA  of cuboid = 2 * 27.5 * 2.8

⇒  LSA of cuboid = 154 cm²

Therefore,

LSA of cuboid = 154 cm²

______________________________

Some more formulas :

TSA of cuboid = 2(lb + bh + hl)

LSA of cuboid = 2(l + b)h

Volume of cuboid = l * b * h

Diagonal of cuboid = √(l² + b² + h²)

Volume of cube = a³

Answered by IdyllicAurora
49

Answer:

\: \: \boxed{\boxed{\rm{\mapsto \: \: \: Firstly \: let's \: understand \: the \: concept \: used}}}

Here the concept of LSA of Cuboid has been used. According to this, when we have Length, Breadth and Height we can simply apply those values and find the LSA of Cuboid.

_______________________________________________

Formula Used :-

\boxed{\boxed{\large{\bf{LSA \: of \: Cuboid \: = \: 2 \: \times \: (L + B) \: \times \: h}}}}

_______________________________________________

Question :-

Find the lateral surface area of a cuboid whose dimensions are 16 cm x 11.5 cm x 2.8 cm.

_______________________________________________

Solution :-

Given,

Let's derive the dimensions from the values.

» Length of the cuboid = 16 cm

» Breadth of the cuboid = 11.5 cm

» Height of the cuboid = 2.8 cm

Now let's find the LSA :-

LSA of Cuboid = 2 × (L + B) × h

LSA of Cuboid = 2 × (16 + 11.5) × 2.8

LSA of Cuboid = 2 × 27.5 × 2.8

LSA of Cuboid = 154 cm²

\large{\boxed{\rm{\leadsto \: \: Hence, \: the \: LSA \: of \: Cuboid \: is \: \boxed{\bf{154 \: cm^{2}}}}}}

_______________________________________________

\boxed{\boxed{\rm{\mapsto \: \: Reference \: as \: Supplementary \: Counsel \: }}}

TSA of Cuboid = 2(LB + BH + LH)

TSA of Cube = 6 × (Side)²

CSA of Cube = 4 × (Side)²

Volume of Cube = (Side)³

Volume of Cuboid = Length × Breadth × Height

Volume of Cylinder = πr²

Volume of Cone = ⅓ × πr²h


EliteSoul: Great
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