Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

We are given a parallelogram with one side of length 10 m, an adjacent side of length 8 m, and the a...

ParallelogramAreaTrigonometrySineGeometric Formulas
2025/4/23

Bob is building a tunnel greenhouse. The greenhouse is 50 feet long and has semi-circular ends with...

Surface AreaCylinderCircleArea CalculationPractical Application
2025/4/23

A cube with edge length 1.6' contains a sphere that touches all 6 sides of the box. Find the differ...

VolumeCubeSphere3D GeometryApproximationPi
2025/4/23

The problem asks to find the height of a square pyramid given its volume and the length of the base ...

VolumePyramidsAreaFormula ApplicationSquare3D Geometry
2025/4/23

The roof is in the shape of a square pyramid with a side length of 32 feet and a slant height of 20 ...

Surface AreaPyramidsWord Problem
2025/4/23

The problem asks us to find the number of gallons needed to fill a cylindrical pool given its diamet...

VolumeCylinderUnits ConversionApproximationπ
2025/4/23

The problem states that a ball has a radius of 5 inches. Each pump adds 16 cubic inches of air to th...

VolumeSphereApproximationWord Problem
2025/4/23

We are given a cone with radius $r = 2.6$ cm and slant height $l = 18$ cm. We need to find the volum...

ConeVolumePythagorean Theorem3D GeometryMeasurement
2025/4/23

The problem asks to find the surface area of the label of a cylindrical can. The can has a diameter ...

Surface AreaCylinderLateral Surface AreaApproximationRadiusDiameter
2025/4/23

The problem asks to determine whether to use lateral area (LA), surface area (SA), or volume (V) for...

Surface AreaVolumeLateral AreaCylinderApplications
2025/4/23