Question

The dimensions of a rectangular box are in the ratio 5:4:2. Its total surface area is 7600 cm?. Find the dimensions of the box.​

Answer 1

Answer:

The rectangular box is actually a cuboid...

Ratio of their dimentions=5:4:2.

So,Let its dimensions be:

     Length=5x.

     Breadth=4x.

    Height=2x.

.: T.S.A of cuboid=2(lb+bh+lh)

=> T.S.A of cuboid=7600cm²

=> 2(lb+bh+lh)=7600cm²

=> 2((5x*4x)+(4x*2x)+(5x*2x))=7600cm²

=> 2(20x ²+8x²+10x²)=7600cm².

=> 2*38x²=7600cm².

=> 76x²=7600cm².

=> x ²=7600/76.

=> x ²=100

=> x= √100 =10cm.

Hence we found the value of x.

Now the dimensions of the rectangular box are:

       Length=5x = (5*10)= 50cm.

      Breadth=4x = (4*10)= 40cm.

     Height= 2x = (2*10)= 20cm.

Step-by-step explanation:

HOPE THIS WILL HELP YOU:)

Answer 2

Answer:

volume of cuboid = l*b*h

= 5x*4x*2x

= 40x