Final answer:
To calculate the total mass of 60 concrete slabs, one must first convert the dimensions to meters, calculate the volume, and then use the density to find the mass of one slab and multiply by 60. The total mass of 60 slabs is 604.8 kg.
Step-by-step explanation:
The student is tasked with calculating the total mass of 60 concrete slabs, each being a cuboid with dimensions of 400mm by 400mm by 28mm and a density of 2250kg/m³. To find the mass of a single slab, we'll first convert its dimensions from millimeters to meters, calculate its volume, and then use the density to find its mass.
Firstly, we convert the dimensions of the slab from millimeters to meters:
400 mm = 0.400 m
400 mm = 0.400 m
28 mm = 0.028 m
Next, we calculate the volume of the slab:
V = length × width × height
V = 0.400 m × 0.400 m × 0.028 m
V = 0.00448 m³
Now, we calculate the mass of the slab using the density:
mass = density × volume
mass = 2250 kg/m³ × 0.00448 m³
mass = 10.08 kg
To find the total mass of 60 slabs:
total mass = mass of one slab × number of slabs
total mass = 10.08 kg × 60
total mass = 604.8 kg
The total mass of 60 concrete slabs is 604.8 kg.