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Answer :
Assuming you mean 7m^3 (meters cubed) of Sand:
Volume = base x width x height
The truck can hold a volume of 2.5 x 1.5 x 1 = 3.75 m^3.
To move 7 m^3 of sand, the truck will have the make two trips. The first trip, the truck will move 3.75 m^3 of sand, and on the second, it will move 7-3.75=3.25 m^3.
Volume = base x width x height
The truck can hold a volume of 2.5 x 1.5 x 1 = 3.75 m^3.
To move 7 m^3 of sand, the truck will have the make two trips. The first trip, the truck will move 3.75 m^3 of sand, and on the second, it will move 7-3.75=3.25 m^3.
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Rewritten by : Barada
The correct answer is that the truck must make approximately 2 trips to deliver 7 cubic meters of sand.
To determine the number of trips the truck must make, we first need to calculate the volume of sand that the truck can carry in one trip. The volume of the truck's bed can be calculated using the formula for the volume of a rectangular prism, which is:
[tex]\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \][/tex]
Given the dimensions of the truck's bed are 2.5 meters in length, 1.5 meters in width, and 1.0 meter in height, we can calculate the volume of sand it can carry in one trip as follows:
[tex]\[ \text{Volume per trip} = 2.5 \, \text{m} \times 1.5 \, \text{m} \times 1.0 \, \text{m} \][/tex]
[tex]\[ \text{Volume per trip} = 3.75 \, \text{m}^2 \times 1.0 \, \text{m} \][/tex]
[tex]\[ \text{Volume per trip} = 3.75 \, \text{m}^3 \][/tex]
Now, we need to deliver a total of 7 cubic meters of sand. To find out how many trips are required, we divide the total volume of sand needed by the volume that the truck can carry in one trip:
[tex]\[ \text{Number of trips} = \frac{\text{Total volume of sand}}{\text{Volume per trip}} \][/tex]
[tex]\[ \text{Number of trips} = \frac{7 \, \text{m}^3}{3.75 \, \text{m}^3} \][/tex]
[tex]\[ \text{Number of trips} \approx 1.86 \][/tex]
Since the truck cannot make a fraction of a trip, we round up to the nearest whole number. Therefore, the truck must make approximately 2 trips to deliver 7 cubic meters of sand.
