SOLUTION: The length and the width of a rectangular parallelepiped are 20m and 30m.Knowing that the total area is 6200m² calculate the height of the box and measure the volume.

Algebra ->  Surface-area -> SOLUTION: The length and the width of a rectangular parallelepiped are 20m and 30m.Knowing that the total area is 6200m² calculate the height of the box and measure the volume.       Log On


   

Question 1185379: The length and the width of a rectangular parallelepiped are 20m and 30m.Knowing that the total area is 6200m² calculate the height of the box and measure the volume.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Let the height be x.

The surface area of 6200m^2 consists of two faces of x by 20, two of x by 30, and two of 20 by 30:

2%2820x%29%2B2%2830x%29%2B2%2820%2A30%29=6200
40x%2B60x%2B1200=6200
100x=5000
x=50

The height is 50m; then the volume (in m^3) is length times width times height.