Question

Check thepic plzz first answer brainliest

Answer 1

Answer:

Total Surface Area:  A = 88 square cm

Step-by-step explanation:

Volume V = 48 cubic cm

So this cuboidal box is actually a rectangular prism.

V =  L * W* H

L = length,   W = breadth,   H= height

With  L: W : H = 3: 2: 1

L:W = 3: 2

W: H = 2: 1

L/W  = 3/2,    L = (3/2)*W

W/H = 2/1 ,    W = 2*H

L = (3/2)*(2H) =  3H

So  :   V = L * W * H =  (3H) * (2H) * H  = 6 * H^3

48  =  6 * H^3

48/6 = 8 = H^3

H = cube-root(8) =  2 cm

so  ...

W = 2*H = 2*2 = 4 cm

L = (3/2)*W = (3/2)* 4 = 6 cm

Total Surface Area:  A = 2*LW  + 2*LH + 2*WH

A = 2*(6 * 4)  +  2*(6 * 2)  + 2*(4 * 2)

A = 2*24  + 2*12 + 2*8

A = 48 + 24 + 16

A = 48 + 40

A = 88 square cm