Question

the surface area of 3 faces of a rectangular box are 180 cm²,144 cm²,8cm².find the volume of the box. PLEASE ANSWER.I NEED IT VERY BADLY.

Answer 1

Given: The surface area of 3 faces of a rectangular box are 180 cm²,144 cm², 8cm²

To find: The volume of the box.

Solution:

• Let the dimensions be :

           Length = l cm,

           breadth = b cm,

           height = h cm

• Now we have given that The surface area of 3 faces of a rectangular box are 180 cm²,144 cm²,8cm². So:

           lb = 180 cm²

           bh = 144 cm²

           lh = 8 cm²

• Now multiplying all the terms we get:

           lb × bh × lh = 180 cm² x 144 cm² x 8 cm²

           l²b²h² = 207360 cm ^6

• Taking the square root for volume, we get:

          √(lbh)² = √207360 cm ^6

           lbh = Volume = 455.36798 cm³

Answer:

         So the volume is 455.36798 cm³.