Question

if you will give the correct answer I will give you 5 stars and thanks

the Length breadth and height of a cuboid are in the ratio 7: 6: 5. if the first surface area of cuboid is 1926 cm^2, find its dimensions and volume of cuboid.

please is the answer with method.......

Answer 1

let the length is 7x
breadth is 6x
height is 5x
total surface area of cuboid = 2 ( lb + bh + hl)
1926 = 2( 7x*6x + 6x*5x + 5x*7x )
1926 = 2( 42x^2 + 30x^2 + 35x^2 )
963 = 107 X^2
x^2 = 963/107 = 9
X = √9 = 3
length = 7*3=21 cm
breadth = 6*3 = 18 cm
height = 5*3 = 15cm
volume of cuboid = lbh = 21*18*15 = 5670 cm ^3

Answer 2

2(1h bh 1b)=1926
so,let ,I=6×h=5×b=3x
by substituting the value in the formula .
we get 2*(6×*5×6*×*3×5×*3×=)=1926
simplified x=??
put in the x value answer is ready