the dimension of a cuboid are in the ratio of 5 ratio 3 ratio 1 and its total surface area is 414 m square find the dimension of the cuboid
Answers
Answered by
13
Let, the dimensions of a cuboid be 5x, 3x and x.
surface area of a cuboid = 2[ lb + bh + lh ]
414=2[ 5x×3x + 3x×x + 5x×x]
414=2[ 23x^2]
414=46x^2
x^2=414/46
x = √9
x = 3
So, the dimensions are 15, 9 and 3.
surface area of a cuboid = 2[ lb + bh + lh ]
414=2[ 5x×3x + 3x×x + 5x×x]
414=2[ 23x^2]
414=46x^2
x^2=414/46
x = √9
x = 3
So, the dimensions are 15, 9 and 3.
Similar questions