Question

The surface area of the three coterminus faces of a cuboid are 6,15,10cm².the volume of the cuboid is

Answer 1

Area of 1st face= 6cm² (l×b)

Area of 2nd face = 15cm² (b×h)

Area of 3rd face= 10cm² (h×l)

Volume of the cuboid= l×b×h

So,

(lb)(bh)(hl) = 6×15×10

l²b²h²= 900

(lbh)²=900

lbh=√900

lbh=30cm³

Therefore, volume of the cuboid is 30 cm³