Applied Mathematics

Problems related to numerical analysis, optimization, mathematical modeling, etc.

Problems in this category

The problem asks to find the density of a rectangular prism with a given mass of 48.3 kg and dimensi...

VolumeDensityUnits ConversionRectangular PrismPhysics
2025/4/21

We are given a rectangular prism with dimensions 5 cm, 1.6 cm, and 2 cm. The density of the object i...

VolumeDensityMassRectangular PrismUnits Conversion
2025/4/21

The problem states that an object has a volume of $65 m^3$ and a density of $26 \frac{kg}{m^3}$. We ...

DensityVolumeMassUnits Conversion
2025/4/21

The problem states that an object has a mass of 352 kg and a volume of 220 $m^3$. We are asked to fi...

DensityUnits ConversionPhysicsRatio
2025/4/21

The problem provides the density and mass of an object and asks for its volume. The density is $14 \...

DensityMassVolumeUnits Conversion
2025/4/21

The problem states that an object has a density of $20 \, \text{g/cm}^3$ and a volume of $25 \, \tex...

DensityMassVolumeUnits Conversion
2025/4/21

We are given a rectangular city on a grid. We are told that in 2006, the city's population was 567,0...

Area CalculationPopulation DensityUnits Conversion
2025/4/21

A city shaped like a rectangle is given on a grid. The city's population in 2006 was 607,500 people....

Area CalculationPopulation DensityUnits ConversionWord Problem
2025/4/21

Paul wants to make 150 ice cream cups, each with two scoops of chocolate ice cream and one scoop of ...

Volume CalculationGeometryWord ProblemSphereCylinderRectangular PrismApproximation
2025/4/21

The problem describes a javelin throwing event involving Dave and Ed. Dave threw 60m correct to the ...

EstimationBoundsMeasurementProblem Solving
2025/4/21