Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

We are given a triangle $XYZ$ with a line segment $PQ$ parallel to the base $YZ$. We are given that ...

Triangle SimilarityArea of TriangleArea of TrapezoidGeometric Proof
2025/4/22

We are given a pole of height 33 m. Two points are located on opposite sides of the pole such that t...

TrigonometryAngle of ElevationRight TrianglesTangent FunctionWord Problem
2025/4/22

We are given a diagram where $AOB$ is a straight line. We are also given the following angle measure...

AnglesStraight LineSystem of EquationsAlgebra
2025/4/22

We are asked to find the slope of a line that is parallel to the line passing through the points $(6...

Coordinate GeometrySlopeParallel LinesLinear Equations
2025/4/21

The problem asks us to determine whether the given graph represents a function. We are given a graph...

FunctionsGraphsVertical Line Test
2025/4/21

The problem asks to find the volume of steel used to create a ball bearing that is in the shape of a...

VolumeSphereFormulaApproximationUnits Conversion
2025/4/21

We are given a rectangular prism with a volume of $171.6$ cubic feet. The length of the prism is $11...

VolumeRectangular Prism3D Geometry
2025/4/21

The kiosk consists of a cylinder and a cone. We need to find the total volume of the kiosk which is ...

VolumeCylinderConeGeometric Shapes3D Geometry
2025/4/21

We are given a cylinder with height 19 cm and radius 4.75 cm. This cylinder is placed inside a recta...

VolumeCylinderRectangular Box3D GeometrySolid GeometryApproximation
2025/4/21

We are given a propane tank that is shaped like a cylinder with hemispherical ends. The diameter of ...

Surface AreaCylinderSphereGeometric ShapesVolume
2025/4/21