Question

the dimensions of a cuboid are in the ratio 1:2:3 and its total surface are 88m2.find the dimensions

Answer 1

Hey mate!!!!!

Let them be x, 2x and 3x respectively

Total surface area =
$2(lb + bh + lh)$

Given surface area 88
=
$2(x \times 2x + 2x \times 3x + 3x \times x) = 88$
=
$2(2x {}^{2} + 6x {}^{2} + 3{x}^{2}) = 88 \\ 2 \times {11x}^{2} = 88 \\ 22 {x}^{2} = 88 \\ {x}^{2} = 88 \div 22 \\ {x}^{2} = 4 \\ x = \sqrt{4} \\ x = 2$
now we know the value of x
2x = 2 × 2 = 4
3x = 3 × 2 = 6

So the dimensions are
2, 4 and 6

Hope it helps dear friend ☺️✌️✌️✌️