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3 years ago

Check thepic plzz first answer brainliest

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

4 0

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

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