# The dimensions of

Let

Length of cuboid = l = 5x

Breadth of cuboid = b = 3x

Height of cuboid = h = 2x

Such that the ratio is 5:3:2 as mentioned in question where x is any positive number

Total surface area of cuboid = 558 cm2

Total surface area of cuboid = 2 × (lb + bh + hl)

558 = 2 × [(5x)(3x) + (3x)(2x) + (2x)(5x)] = 15x2 + 6x2 + 10x2

279 = 31x2

x2 = x2 = 9

x = ± 3

x is length therefore x cannot be negative therefore x = 3

therefore,

length of cuboid = 5x = 5 × 3 = 15 cm

breadth of cuboid = 3x = 3 × 3 = 9 cm

height of cuboid = 2x = 2 × 3 = 6 cm

length of edges of cuboid are 15 cm, 9 cm and 6 cm

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Sphere and Hemisphere16 mins  Right Circular Cylinder45 mins  Right Circular Cone And Frustum43 mins  Cube and Cuboid41 mins  Area Related to Circles- Important Formula and Concepts59 mins  Heights and Distances-I45 mins  History - Concept and Questions57 mins  Resources and Development Revision28 mins  Corrosion: Types, Pros and Cons41 mins  Revision on Substitution and Elimination Method44 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

A village, havingRajasthan Board Mathematics

<span lang="EN-USRajasthan Board Mathematics

The area of each Rajasthan Board Mathematics

The dimensions ofRajasthan Board Mathematics