Question

Find the surface area of a cuboid whose dimensions are 6cm,5cm,3cm

Answer 1

Answer:

total surface area =2(lb+bh+hl)

2(6*5+5*3+3*6)

2(30+15+18)

2(63)

126cmsq

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Answer 2

The lateral surface area of a cuboid is 66 cm².

The total surface area of a cuboid is 126 cm².

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Let's understand a few concepts:

To solve the given problem we will use the following formulas:

$\boxed{\bold{Lateral \:surface \:area\:of\:a\: cuboid = 2h (l + b)}}$

$\boxed{\bold{Total \:surface \:area\:of\:a\: cuboid = 2 (lb + bh + hl)}}$

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Let's solve the given problem:

The dimensions of the cuboid are:

Length (l) = 6 cm

Breadth (b) = 5 cm

Height (h) = 3 cm

Lateral Surface Area:

The lateral surface area of a cuboid is,

= $2h (l + b)$

= $2\times 3 \times (6 + 5)$

= $2\times 3 \times 11$

= $\bold{66 \:cm^2}$

Total Surface Area:

The lateral surface area of a cuboid is,

= $2 [lb + bh + hl]$

= $2 [(6\times 5) + (5\times 3) + (6 \times 3)]$

= $2 [30 + 15 + 18]$

= $2\times 63$

= $\bold{126 \:cm^2}$

Thus,

The lateral surface area of a cuboid is 66 cm².

The total surface area of a cuboid is 126 cm².

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