Question

एक घनाभ की लम्बाई 8 मी, चौड़ाई 6 मी तथा ऊंचाई 4 मी हैं, तो उसका कुल पृष्ठीय क्षेत्रफल
2
The length, breadth and height of a cuboid are 8 m, 6 m and 4 m respectively,
then find its total surface area.​

Answer 1

AnswEr-:

• $\underline {\star{\pink{\mathrm { T.S.A \:or\:Total \:Surface \:Area\:of\:Cuboid \:= \: 208m^{2} }}}}$

Explanation-:

$\sf{\bf{Given \:-:}}$

• The Length of Cuboid is 8m .

• The Breadth of Cuboid is 6 m.

• The Height of Cuboid is 4 m.

$\sf{\bf{To\:Find\:-:}}$

• Total Surface Area of Cuboid.

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$\dag {\sf{\bf{ Solution \:of\:Question \:-:}}}$

$\underbrace {\sf{\bf{ Understanding \:the\:Concept \:-:}}}$

• We have to find Total Surface Area when Length , Breadth and Height of Cuboid is Given.

• Now , By Putting the given Values [ Length , Breadth and Height] in Formula of Total Surface Area of cuboid.

• By this we can get the Total Surface Area of Cuboid.

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$\dag {\sf{\bf{ Finding \:Total \:Surface \:Area\:of\:Cuboid \:-:}}}$

As , We know that ,

• $\underline{\boxed{\star{\sf{\blue{ Total \: Surface\:Are\:= \: 2 (Length \times Breadth + breadth \times height + Length \times height)\:sq.units }}}}}$

$\sf{\bf{Here \:-:}}$

• The Length of Cuboid is 8m .

• The Breadth of Cuboid is 6 m.

• The Height of Cuboid is 4 m.

Now by Putting known Values in Formula for Total Surface Area of Cuboid. -:

• $\qquad \quad \qquad \quad \longmapsto {\mathrm { T.S.A \:= \: 2 ( 8 \times 6 + 6 \times 4 + 8 \times 4 ) }}$

• $\qquad \quad \qquad \quad \longmapsto {\mathrm { T.S.A \:= \: 2 ( 48 + 24 + 32 ) }}$

• $\qquad \quad \qquad \quad \longmapsto {\mathrm { T.S.A \:= \: 2 ( 48 + 56 ) }}$

• $\qquad \quad \qquad \quad \longmapsto {\mathrm { T.S.A \:= \: 2 ( 104 ) }}$

• $\qquad \quad \qquad \quad \underline {\boxed{\pink{\mathrm { T.S.A \:= \: 208m^{2} }}}}$

Hence ,

• $\underline {\star{\pink{\mathrm { T.S.A \:or\:Total \:Surface \:Area\:of\:Cuboid \:= \: 208m^{2} }}}}$

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$\large { \boxed {\mathrm |\:\:{\underline {More \:To\:Know\:-:}}\:\:|}}$

• Volume of Cuboid is = Length × Breadth × Height cu.units

• Total Surface area of Cuboid = 2 (Length x Breadth + breadth x height + Length x height) sq.units

• Volume of Cuboid is = Edge × Edge × Edge cu.units

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Answer 2

$\Huge{\mathfrak{\green{\underline{\purple{Solution}}}}}$

Given:-

• Length of cuboid is 8m.
• Breadth of cuboid is 6m.
• Height of cuboid is 4m.

To Find:-

• Find the total surface area = ?

Solution:-

Let's understand

Here,Length, breadth and height is 8m,6m and 4m respectively and we have to find total surface area.

We know that,

$\large\sf\blue{Total\:Surface\:Area=2(Length×Breadth+Breadth×Height+Height×Length)sq.\:units}$

Now,Put the value

$\sf\implies{T.S.A= 2(8 × 6 +6 × 4 + 8 × 4)}$

$\sf\implies{T.S.A=2(48 + 24 + 32)}$

$\sf\implies{T.S.A=2(48+56)}$

$\sf\implies{T.S.A=2(104)}$

$\large\implies\sf\orange{T.S.A=208{m}^{2}}$

Hence, Total Surface Area is 208$\sf{m}^{2}$