The fewest number of trucks Lauren should send is D) 4 trucks.
Step-by-step explanation:
Step 1:
The rectangular slab's dimensions are [tex]24 \times 24 \times 1[/tex] feet. Each truck can carry 8 cubic yards of cement.
First, we need to determine the volume of the slabs in yards. 1 foot = 0.333 yards. So 24 feet = [tex]24\times 0.3333[/tex] = 8 yards.
The volume of the slab = [tex]8 \times 8 \times 0.3333[/tex] = 21.3312 cubic yards.
Step 2:
The company sends a surplus of 20% to make sure the job can be completed. So the total cement sent is the required volume and an extra 20%.
The total cement sent = The required cement + 20%.
                   = 21.3312 + 20% = 25.597 cubic yards.
Step 3:
So to find the number of trucks needed, we divide the cement sent by the load each truck can carry. Each truck can carry 8 cubic yards of cement. So
The number of trucks needed = [tex]\frac{therequiredload}{load per truck} = \frac{25.597}{8} = 3.199625.[/tex]
If 3.199 trucks are needed, it means 4 trucks are needed which is option D.
