Question

cuboid has length 30 cm and breadth 25 CM if its total surface area is doubled the lateral surface area then find its height and volume​

Answer 1

the height of the cuboid is =150/11

Answer 2

$\huge\mathbb{A~N~S~W~E~R}$

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✿ We know that TSA of cuboid :-

$= 2(lb + bh + hl)$

✿ We know that LSA of cuboid

$= 2h(l + b)$

✿ Here TSA is doubled than LSA is given.

$2(lb + bh + hl) = 2(2h(l + b)) \\ \\ 2(30 \times 25 + 30h + 25h) = 2(2h(55)) \\ \\ 750 + 110h = 220h \\ \\ 750 = 110h \\ h = 6.81 \: cm$

✿ Now Volume :-

$= lbh \\ \\ = 30 \times 25 \times 6.81 \\ \\ = 5113.63 { \: cm}^{3} \\ \\ = 5114 { \: cm}^{3}$

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