Question

The length, breadth and hieght of a cuboid are in the ratio 7 : 6 : 5.If the surface area of the cuboid is 1926 cm² , find the volume of the cuboid

Answer 1

let 7:6:5=
$7x 8x \: and \: 9x$


the surface area of the cubiod =1926 cm
2
$2(7x \times 6x + 6x \times 5x + 5x \times 7x) = 1926$
$2(42x + 30x + 35x) = 1926$
$2(107x) = 1926$
$214x = 1926$
$x = 1926 \div 214 = 9$
$x = 9$
$7x = 7 \times 9 = 63$
$6x = 6 \times 9 = 54$
$5x = 5 \times 9 = 45$

Answer 2

2(7x*6x+6x*5x+5x*7x)=1926
2(107x)=1926
X=1926÷214
X=9