Question

The total surface area of a cuboid is 3328 m2. If the length, breadth and height are
in the ratio 4:3:2, then what will be its volume?
​

Answer 1

Answer:

step-by-step explanation:

the length, breadth and height are

in the ratio 4:3:2.

let the common multiple be 'a'

length =4a

breath=3a

height=2a

total surface area of cuboid = 2(lb+bh+lh)

3328=2(4ax3a+3ax2a+4ax2a)

3328/2=(12a+6a+8a)

1664=26a

1664/26=a

a=64

volume of a cuboid=lxbxh

volume of a cuboid=4ax3ax2a

volume of a cuboid=24a³

volume of a cuboid=24x64³(a=64)

volume of a cuboid=24x262,144

volume of a cuboid=6,291,456m³