Question

the Length breadth and height of a cuboid are in the ratio 7: 5: 3 and its whole surface area is 41038 square centimetre find its volume​

Answer 1

Step-by-step explanation:

let the length be 7x

breadth 5x

height 3x

surface area 2(lb+ bh+ hl)

41038= 2(lb+bh+hl) (1)

now putting value in equation 1

41038=2(7x × 5x + 5x × 3x + 3x × 7x)

41038=2(35x^2 + 15x^2 + 21x^2)

41038= 2 × 71x^2

41038= 142x^2

x^2=41038÷142

x^2=289

x=√289

x=17

volume =l×b×h

l=7x

b=5x

h=3x

7×17=119

5×17=85

3×17=51

119×85×51

515685cm^3