Question

The length, breadth and height of a cuboid are in the ratio 8 : 5 : 7. If its volume is 2240 cm3. then
find its total surface area.

Answer 1

consider length of the cuboid=8x

breadth of the cuboid=5x

height of the cuboid=7x

volume of cuboid=2240 cm3

( as we know that volume of a cuboid is length× breadth×height)

8x ×5x×7x = 2240

280x =2240

x= 2240÷280

x=8

now putting the value of x

length=8x

=8(8)

= 64cm

breadth=5x

=5(8)

=40cm

height=7x

=7(8)

=56cm

total surface area of cuboid= 2[(l×b)+(b×h)+(h×l)

=2[(64×40)+(40×56)+(56×64)]

=2[2560+2240+3584]

=2(8384)

=16768 cm

I hope it's helpful