Question

the edge of a cuboid are 4 cm, 5cm,8cm respectively . the total surface area of the cuboid is​

Answer 1

Answer:

192 cm cube

Step-by-step explanation:

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Answer 2

Answer:

Given :-

• The edge of a cuboid are 4 cm, 5 cm and 8 cm respectively.

To Find :-

• What is the total surface area of the cuboid.

Formula Used :-

$\clubsuit$ Total Surface Area or T.S.A Of Cuboid Formula :

$\small \bigstar \: \: \sf\boxed{\bold{\pink{T.S.A_{(Cuboid)} =\: 2(lb + bh + hl)}}}\: \: \: \bigstar$

where,

• T.S.A = Total Surface Area
• l = Length
• b = Breadth
• h = Height

Solution :-

Given :

• Length = 4 cm
• Breadth = 5 cm
• Height = 8 cm

According to the question by using the formula we get,

$\small \implies \bf T.S.A_{(Cuboid)} =\: 2(lb + bh + hl)$

$\small \implies \sf T.S.A_{(Cuboid)} =\: 2\bigg\{(4 \times 5) + (5 \times 8) + (8 \times 4)\bigg\}$

$\small \implies \sf T.S.A_{(Cuboid)} =\: 2\bigg\{(20) + (40) + (32)\bigg\}$

$\small \implies \sf T.S.A_{(Cuboid)} =\: 2\bigg\{20 + 40 + 32\bigg\}$

$\small \implies \sf T.S.A_{(Cuboid)} =\: 2\bigg\{(60 + 32)\bigg\}$

$\small \implies \sf T.S.A_{(Cuboid)} =\: 2\bigg\{92\bigg\}$

$\small \implies \sf T.S.A_{(Cuboid)} =\: 2 \times 92$

$\small \implies \sf\bold{\red{T.S.A_{(Cuboid)} =\: 184\: cm^2}}$

$\therefore$ The total surface area of the cuboid is 184 cm² .

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