The total surface area of a rectangular box of dimensions $a$ , 2 $a$ and 3 $a$ is ___.

22 a^{2}

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20 a^{2}

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12 a^{2}

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23 a^{2}

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Solution

The correct option is A $22 a^{2}$
Given, sides are $a$ , 2 $a$ , 3 $a$
The total surface area of a cuboid of dimensions l,b and h = $2 (l b + b h + l h)$
$T . S . A = 2 ((a \times 2 a) + (2 a \times 3 a) + (3 a \times a))$
= $2 (2 a^{2} + 6 a^{2} + 3 a^{2})$
= $22 a^{2}$

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The total surface area of a rectangular box of dimensions a, 2a and 3a is ___.

The correct option is A 22a2Given, sides are a, 2a, 3a The total surface area of a cuboid of dimensions l,b and h = 2(lb+bh+lh) T.S.A=2((a×2a)+(2a×3a)+(3a×a)) = 2(2a2+6a2+3a2) = 22a2

The total surface area of a rectangular box of dimensions $a$ , 2 $a$ and 3 $a$ is ___.

The correct option is A $22 a^{2}$
Given, sides are $a$ , 2 $a$ , 3 $a$
The total surface area of a cuboid of dimensions l,b and h = $2 (l b + b h + l h)$
$T . S . A = 2 ((a \times 2 a) + (2 a \times 3 a) + (3 a \times a))$
= $2 (2 a^{2} + 6 a^{2} + 3 a^{2})$
= $22 a^{2}$