A truck whose bed is 8.5 feet long, 5 feet wide, and 3.5 feet high is delivering sand for a sand sculpture competition. How many trips must the truck make to deliver 400 cubic feet of sand?

The formula for calculating the volume of a rectangular prism (such as a truck bed) is: V = lwh, where l represents the length, w represents the width, and h represents the height. Using the given values for the truck's bed, we can calculate its volume as: V = (8.5 ft) x (5 ft) x (3.5 ft) = 148.75 cubic feet

Now, we need to find out how many trips the truck must make to deliver 400 cubic feet of sand.

Let's call the number of trips "t".

We can set up an equation using the volume of the truck's8 bed and the total volume of sand that needs to be delivered:148.75t = 400

Solving for "t":t = 400 ÷ 148.75t ≈ 2.69

So the truck must make approximately 2.69 trips to deliver 400 cubic feet of sand.

Since it's not possible to make a fractional trip, we must round up to the nearest whole number.

Therefore, the answer is that the truck must make 3 trips to deliver 400 cubic feet of sand.

The truck must make 3 trips to deliver 400 cubic feet of sand.

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