Question

What is the total surface area of a cuboid of dimension 4 cm, 5 cm
& 6 cm?​

Answer 1

Answer:

To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Step-by-step explanation:

SA=2*4*5+2*4*6+2*6*5

=148 cm

Answer 2

The total surface area of a cuboid is 148 cm².

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Let's understand a few concepts:

We will calculate the total surface area of a cuboid by using the following formula:

$\boxed{\bold{T.S.A. \:of\:a\:cuboid = 2 \times [lb + bh+hl]}}$

where

l → length of the cuboid

b → breadth of the cuboid

h → height of the cuboid

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Let's solve the given problem:

The dimensions of the given cuboid:

Length, l = 4 cm

Breadth, b = 5 cm

Height, h = 6 cm

By using the above formula of the total surface area of the cuboid, we get

The total surface area of the given cuboid is,

= $2 \times [(4\times 5) + (5\times 6)+(6\times 4)]$

= $2 \times [20 + 30 + 24]$

= $2 \times 74$

= $\bold{148 \:cm^2}$

Thus, the total surface area of a cuboid of dimensions 4 cm, 5 cm

& 6 cm is 148 cm².

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