Find the volume of cubical box. if the cost of painting of outer surface is rs 1440 at the rate rs 15 per mcube

Surface of a cubical box=6 (side²)

1) We have to calculate the surface of this cubical box.

Rate=cost of painting / surface ⇒surface=cost of painting/rate

dа ta:

Rate=$15/m²

cost of painting=$1440

Surface=$1440 / ($15/m²) = 96 m²

2) We find out the length of the side:

Surface of a cubical box=6 (side²)

dа ta:

Surface of a cubical box=96 m2

Therefore:

96m²=6 (side²)

side²=96 m²/6

side²=16 m²

side=√ (16 m²) = 4 m

3) We find the volume of a cubical box.

volume = (side³)

volume = (4 m) ³

volume=64 m³

Answer: the volume of this cubical box would be 64 m³.