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
