Question

the length breadth and height of a rectangular solod are in ratio 5:4:2 if the total surface area is 1215 cm² find the length breadth and height of the solid ​

Answer 1

let

length = 5x

breadth = 4x

height = 2x

$= > TSA = 1215 \: {cm}^{2} \\ \\ = > 2(5x \times 4x + 4x \times 2x + 5x \times 2x) = 1215 \\ \\ = > 2(20 {x}^{2} + 8{x}^{2} + 10{x}^{2}) = 1215 \\ \\ = > 2 \times 38{x}^{2} = 1215 \\ \\ = > 76{x}^{2} = 1215 \\ \\ = > {x}^{2} = 15.98 \\ \\ = > {x}^{2} = 16(approx.) \\ \\ = > x = 4 \: cm$

length = 20 cm

breadth = 16 cm

height = 8 cm

Answer 2

Step-by-step explanation:

hope the above answer will help you