Answer: V = 1480 cm³ or 1.48 x 10³ cm³
Explanation:
Density formula:
ρ = m/V where:
ρ = density = 10.5 g/cm³
m = mass = 15.5 kg
V = Volume
Let's convert 10.5 g/cm³ to kg/cm³ so we can be in same units as mass
(1 kg = 1000 g)
ρ = 10.5 g/cm³ (1 kg / 1000 g)
ρ = .0105 kg/cm³
Plug in and Solve for V
ρ = m/V
.0105 kg/cm³ = 15.5 kg / V >Cross multiply
(.0105 kg/cm³)V = 15.5 kg >divide both sides by (.0105 kg/cm³)
V = (15.5 kg) / (.0105 kg/cm³)
V = 1476.19 cm³ >They only want 3 sig figs
V = 1480 cm³ or 1.48 x 10³ cm³