A solid metal cube of side 10 cm is heated from
10^oC to 60^oC. lf the linear expansivity of the metal is 1.2 x 10⁵K^-1, calculate the increase in its volume.

Dave333

4 years ago

Sorry,how did you come up with 1000.is it 10cm=10x100=1000🤷

Mrnoah

1 year ago

To calculate the increase in volume, we need to first calculate the change in length of the cube's side:

ΔL = αL₀ΔT

where:

α = 1.2 × 10⁻⁵ K⁻¹
L₀ = 10 cm
ΔT = 60°C - 10°C = 50 K

ΔL = 1.2 × 10⁻⁵ K⁻¹ × 10 cm × 50 K = 0.006 cm

Now, we can calculate the increase in volume:

ΔV = 3αV₀ΔT

where:

V₀ = L₀³ = 10³ cm³ = 1000 cm³

ΔV = 3 × 1.2 × 10⁻⁵ K⁻¹ × 1000 cm³ × 50 K = 1.8 cm³

Therefore, the increase in volume of the metal cube is 1.8 cm³.

faithkate123komumech

2 years ago

pleas how did you come down to 3×0.000012×1000×(60_10)