5 cm 33 cm 9 cm The total surface area of the cube is equal to the total surface area of the cuboid. Work out the volume of the cube. You must show how you get your answer.

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Answer:

2197 cm³

Step-by-step explanation:

To start with, I’d just the formulas needed

Total Surface Area of a cuboid, A =

A = 2lw + 2lh + 2hw, where,

l = length of the cuboid, 33 cm

h = bright of the cuboid, 9 cm

w = width of the cuboid, 5 cm

A = 2(33 * 5) + 2(33 *9) + 2(9 * 5)

A = 2(165) + 2(297) + 2(45)

A = 330 + 594 + 90

A = 1014 cm²

If the total surface area of the cuboid is 1014 cm², which were told is also the total surface are of the cube.

Total surface area of a cube =

A = 6a², where

a = the side of the cuve

A = 6a² = 1014 cm²

6a² = 1014

a² = 1014 / 6

a² = 169

a = √169

a = 13

The formula for volume of cube is

v = a³

V = 13³

V = 2197 cm³