Question

Find the total surface area and lateral surface area of a cuboid having length 8meter breadth 35 centimeter and 9meter high

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Answer 1

✶ Given :-

Length = 8m

Breadth = 35 cm = 0.35 m

height = 9m.

$\red{\bold{\underline{\underline{To \: Find:-}}}}$

The total surface area of the cuboid.

The lateral surface area of the cuboid.

Now,

$\underline\green{\:\textsf{Step \: by \: step \: explanation :-}}$

Total surface area of the cuboid$\bf\implies2× (l+ B) +( B×h) +(l×h)$

$\implies \: 2 \times (8 \times 35) + (0.35 \times 9) + (8 \times 9)$

$\implies \: 2 \times 280 + 3.15 + 72$

$\implies \: 560 + 3.15 + 72$

$\sf\implies 635.15$

$\therefore \: Now$

lateral surface area of the cuboid = $\bf\implies 2h(l+b)$

$\implies \: 2 \times 9(8 \times 0.35)$

$\implies \: 18 \times 8.35$

$\implies \: 150.3$

_______ ♛ Be BrAiNly ♛_______

Answer 2

$\huge\underline\mathfrak\color{gold}SolutioN:$

$\underline{\boxed{\mathtt{\red{Given:}}}}$

$\mathtt{Length \: = \: 8m}$

$\mathtt{Breadth \: = \: 35cm=0.35 m}$

$\mathtt{Height \: = \: 9m}$

$\underline{\boxed{\mathtt{\red{To \:Find:}}}}$

• The total surface area of the cuboid.
• The lateral surface area of the cuboid.

$\rule {300}{2}$

$\underline{\boxed{\mathtt{\red{Formula \: used:}}}}$

Total surface area of the cuboid (TSA)

= 2(length×breadth + breadth ×height + height ×length)

Lateral surface area of the cuboid(LSA)

= 2(length + height × breadth +height)

= 2× height (length +breadth)

$\rule {300}{2}$

Now,

The total surface area of the cuboid

= 2(length×breadth + breadth ×height + height ×length)

$\sf{= 2(8 \times 0.35+ 0.35 \times 9 + 9 \times 8)}$

$\sf{= 2(2.8+3.15+72)}[/tex[</p><p></p><p>[tex]\sf{= 2 \times 77.95}$

$\sf{= 155.9}$

And the lateral surface area of the cuboid.

= 2× height (length +breadth)

$\sf{= 2 \times 9(8+0.35)}$

$\sf{= 2 \times 9 \times8.35}$

$\sf{= 150.3}$

Hence,the total surface area of the cuboid is 155.9 m and the lateral surface area of the cuboid is 150.3 m

$\rule {300}{2}$

Other formulas used in cuboid :

☆The volume of the cuboid

= length × breadth × height.

☆The length of the diagonal of the cuboid

= √( l² + b² +h²)

☆Perimeter of the cuboid

= 4(length + breadth + height)

$\rule {300}{2}$

$\underline{\boxed{\mathtt{\red{ThankYou}}}}$