Which of the following is the surface area of a 10cm×4cm×3cm brick?

Which of the following is the surface area of a $10 cm \times 4 cm \times 3 cm$ brick?

A
84 ${cm}^{2}$
B
124 ${cm}^{2}$
C
164 ${cm}^{2}$
D
180 ${cm}^{2}$

Solution:

It is given that dimensions of brick are

10 cm \times 4 cm \times 3 cm

.
Surface area of a cuboid

= 2 \times (l \times b + b \times h + h \times l)

Here,

l = 10 cm

b = 4 cm

h = 3 cm

Substituting the value,
Surface area =

2 \times (10 \times 4 + 4 \times 3 + 3 \times 10)

\Rightarrow 2 \times (40 + 12 + 30)

\Rightarrow 2 \times 82 {cm}^{2}

\Rightarrow 164 {cm}^{2}

Hence, the surface area of the brick is

164 {cm}^{2}

.
Therefore, option 3 is correct.

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