How many cubic yards of dirt can a dump truck with a bed size of 8 feet by 6 feet by 4 feet carry in eight loads, if the loads are level with the top?

How many cubic yards of dirt can a dump truck with a bed size of 8 feet by 6 feet by 4 feet carry in eight loads, if the loads are level with the top?

• A. 44 CY
• B. 57 CY
• C. 32 CY
• D. 64 CY

Answer: (B)

To determine how many cubic yards of dirt a dump truck can carry in eight loads, you first need to calculate the volume of dirt that the truck can hold in a single load. The volume of the truck's bed can be calculated as follows: - Length = 8 feet - Width = 6 feet - Height = 4 feet The formula for calculating volume in cubic feet is: Volume = Length × Width × Height Plugging in the dimensions, the volume becomes: Volume = 8 ft × 6 ft × 4 ft = 192 cubic feet. To convert cubic feet to cubic yards, recognize that there are 27 cubic feet in a cubic yard. Therefore, the conversion is: Volume in cubic yards = Volume in cubic feet ÷ 27 Volume in cubic yards = 192 cubic feet ÷ 27 ≈ 7.11 cubic yards (per load). Now, since the truck can carry approximately 7.11 cubic yards in one load, you multiply this by the number of loads (8): Total volume for eight loads = 7.11 cubic yards/load × 8 loads ≈ 56.88 cubic yards. Rounding this to the nearest whole number gives you 57

To determine how many cubic yards of dirt a dump truck can carry in eight loads, you first need to calculate the volume of dirt that the truck can hold in a single load.

The volume of the truck's bed can be calculated as follows:

• Length = 8 feet

• Width = 6 feet

• Height = 4 feet

The formula for calculating volume in cubic feet is:

Volume = Length × Width × Height

Plugging in the dimensions, the volume becomes:

Volume = 8 ft × 6 ft × 4 ft = 192 cubic feet.

To convert cubic feet to cubic yards, recognize that there are 27 cubic feet in a cubic yard. Therefore, the conversion is:

Volume in cubic yards = Volume in cubic feet ÷ 27

Volume in cubic yards = 192 cubic feet ÷ 27 ≈ 7.11 cubic yards (per load).

Now, since the truck can carry approximately 7.11 cubic yards in one load, you multiply this by the number of loads (8):

Total volume for eight loads = 7.11 cubic yards/load × 8 loads ≈ 56.88 cubic yards.

Rounding this to the nearest whole number gives you 57