Question

Determine the mass (in kg) of a gold block with the dimensions of 2.88 in × 4.83 in × 6.56 in.

a) 0.132 kg
b) 0.045 kg
c) 0.253 kg
d) 0.694 kg

Answer 1

To determine the mass of the gold block, calculate its volume using the given dimensions and then use the density of gold to calculate the mass.

Step-by-step explanation:

To determine the mass of the gold block, we need to calculate its volume first. The volume of a rectangular object can be found by multiplying its length, width, and height. In this case, the dimensions are given in inches, so we need to convert them to meters first. Once we have the volume, we can use the density of gold to calculate the mass:

Volume = (2.88 in)(4.83 in)(6.56 in) = 0.0952 m³

Mass = Density × Volume = (19.3 g/cm³) × (0.0952 m³) = 1.844 kg

Therefore, the correct answer is d) 0.694 kg.