Question

find the total surface area and the lateral
surface area of a cuboid whose length is 12m,
breadth is 9 m and height is 7m.
​

Answer 1

Answer:

The total surface area of cuboid is 510 m sq.

The lateral surface area of cuboid is 294 m sq.

Step-by-step explanation:

ATQ ,

L = 12m , B = 9m , H = 7m

first we find the total surface area

so, total surface area = 2( l×b + b×h + l×h )

= 2 ( 12×9 + 9×7 + 12 × 7 ) metre sq.

= 2 ( 108 + 63 + 84 ) metre sq.

= ( 2 × 255 ) metre sq .

= 510 m sq.

Now we find the lateral surface area

so , lateral surface area = 2×h ( l + b )

= 2 × 7 ( 12 + 9 ) m sq.

= 14 × 21 m sq.

= 294 m sq.

Answer 2

Given :

• Length of the Cuboid is 12 m.
• Breadth of the Cuboid is 9 m.
• Height of the Cuboid is 7 m.

To Find :

• Lateral Surface Area of Cuboid.
• Total Surface Area of Cuboid.

Solution :

For Lateral Surface Area :

Using Formula :

$\longmapsto\tt\boxed{L.S.A\:of\:Cuboid=2h(l+b)}$

Putting Values :

$\longmapsto\tt{2\times{7}\times{(12+9)}}$

$\longmapsto\tt{14\times{21}}$

$\longmapsto\tt\bf{294\:{m}^{2}}$

So, The Lateral Surface Area of Cuboid is 294 m²..

Now ,

For Total Surface Area :

Using Formula :

$\longmapsto\tt\boxed{T.S.A\:of\:Cuboid=2(lb+bh+hl)}$

Putting Values :

$\longmapsto\tt{2(12\times{9}+9\times{7}+7\times{12}}$

$\longmapsto\tt{2(108+63+84)}$

$\longmapsto\tt{2(255)}$

$\longmapsto\tt\bf{510\:{m}^{2}}$

So , The Total Surface Area of Cuboid is 510 cm².

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• L.S.A of Cuboid = 2h(l+b)
• T.S.A of Cuboid = 2(lb+bh+hl)
• Volume of Cuboid = l×b×h
• L.S.A of Cube = 4a²
• T.S.A of Cube = 6a²
• Volume of Cube = a³

Here :

• l = length
• b = breadth
• h = height
• a = side of cube.

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