Question

the Length breadth and height of a cuboid are in the ratio 7:6:5. If the surface area of the cuboid is 1926cm², find its dimensions.also find the volumeof the cuboid.

Please give fast .....​

Answer 1

Step-by-step explanation:

let the ratio of length and breadth and height be 7x ,6x,5x respectively

surface area of cuboid =2(lb+bh+lh)

=2(7x×6x+6x×5x+7x×5x)

=2(42x²+30x²+35x²)=1926

107 x²=1926/2

107 x²= 963

x²=963/107

x²=9

x=3

length=7×3=21 cm

breadth=6×3=18 cm

height=5×3=15 cm

volume=lbh= 21×15×18=5670 cm³

Answer 2

Step-by-step explanation:

HEY MATE .........

$let \: the \: dimensions \: be \: (7x)(6x)(5x) \\ \\ surface \: area \: = 2(lb + bh + hl) \\ \\ = 2( 42 {x}^{2} + 3 {x}^{2} + 35 {x}^{2} ) \\ \\ 1926 = 2 {x}^{2} (107) \\ \\ 963 = {x}^{2} \times 107 \\ \\ {x}^{2} = 9 \\ \\ x = 3 \\ \\ volume = lbh \\ \\ {x}^{3} (7 \times 6 \times 5) \\ \\ 210 \times 27 = 5670$

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