Measurement and Unit Conversions

A coffee shop prepares cold brew coffee in large batches. Each batch produces exactly $3$ gallons and $2$ quarts of cold brew. The shop needs to completely fill three $4$-gallon dispensers and two $2$-gallon dispensers. If the shop has already prepared $704$ fluid ounces of cold brew, how many additional full batches must they prepare today to have enough cold brew to exactly fill all the dispensers?

An electrician needs to organize four pieces of copper wire. Arrange the following wire lengths in order from shortest to longest.

A landscaper places two lengths of wooden garden edging end-to-end to border a flower bed. The first piece is $7 \frac{1}{2}$ feet long, and the second piece is $4 \frac{1}{2}$ feet long. What is the total length of the edging in inches?

A disaster relief organization is setting up a rectangular emergency water reservoir that measures $4$ yards long, $3$ yards wide, and $2$ yards deep. The reservoir is currently filled to $75\%$ of its total capacity. If $1$ cubic foot holds exactly $7.5$ gallons of water, and the water is distributed into standard $3$-gallon jugs, how many full jugs can be filled?

A heavy construction excavator is operated in two active shifts each day. The morning shift runs for $1.4$ hours, and the afternoon shift runs for $2.8$ hours. Between the shifts, the machine is turned off for a $45$-minute maintenance period. What is the total active operating time accumulated by the excavator over a $4$-day project, in minutes?

A warehouse worker is stacking identical shipping boxes. Each box is exactly $16$ inches tall. If the worker creates a single stack of $3$ boxes, what is the total height of the stack in feet?

A logistics officer is preparing a cargo flight and needs to balance the weight distribution of four different shipping pallets. Arrange the following pallets in order from the LIGHTEST to the HEAVIEST total mass.

A Coast Guard coordinator is reviewing the maximum patrol durations of four different rescue vessels. Arrange the vessels' maximum patrol durations from longest to shortest.

A military supply truck has a fuel tank capacity of $45 \text{ gallons}$. The truck operates with a fuel efficiency of $8 \text{ kilometers per liter}$. Assuming the truck starts with a full tank of fuel, what is its maximum driving range in miles? (Use $1 \text{ gallon} = 3.8 \text{ liters}$ and $1 \text{ mile} = 1.6 \text{ kilometers}$)

A post office charges a flat rate of $\$ 3.00$ per pound to ship a certain class of package. If a customer mails a package that weighs exactly $48$ ounces, what is the total shipping cost?

A quartermaster is preparing individual equipment packs for a field training exercise. Arrange the following items in order from lightest to heaviest.

A maintenance crew is scheduled to overhaul a radar system. The procedure consists of three sequential phases: diagnostics taking $1$ hour and $45$ minutes, component replacement taking $2$ hours and $30$ minutes, and recalibration taking $55$ minutes. If the crew begins the overhaul at $0920$ hours, at what time will the entire procedure be completed?

A military field kitchen uses $128$ fluid ounces of vegetable oil to fry a batch of potatoes. How many quarts of vegetable oil does the kitchen use?

A structural blueprint for a new commercial warehouse uses a scale of $\frac{1}{2}\text{ inch} = 15\text{ feet}$. On the blueprint, the rectangular main storage floor measures $3\frac{1}{3}\text{ inches}$ in length and $2\frac{1}{5}\text{ inches}$ in width. What is the actual area of the main storage floor in square feet?

A maintenance crew purchases $8$ gallons of epoxy paint for a warehouse floor. They need to pour the paint into smaller trays that each hold exactly $2$ quarts. How many trays can they fill completely?

An HVAC technician is installing a straight run of ventilation ductwork that must be exactly $4$ yards and $2$ feet long. The ducting material comes in standard pre-cut sections that are exactly $20$ inches long. The technician connects these sections end-to-end. Once the connected sections exceed the required length, the excess material is cut off from the final section so the ductwork matches the exact required length. How many inches of material will be cut off and discarded from the final section?

A diner has $4$ gallons of buttermilk in its refrigerator. The kitchen staff uses $2$ pints of buttermilk for each large batch of pancake batter. How many large batches of batter can the kitchen prepare?

A food service manager is organizing supplies based on capacity. Arrange the following containers of cooking oil in order from the smallest volume to the largest volume.

A stage crew is connecting two sections of metal piping end-to-end to build a vertical pole for a lighting rig. The bottom section is $2 \frac{1}{2}$ yards long. The top section is $4$ feet $6$ inches long. What is the total height of the assembled pole in yards?

A civil engineer is evaluating four proposed segments for a new neighborhood walking trail. To properly allocate paving materials, the segments must be organized by length. Arrange the following trail segments in order from shortest to longest.