Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

We are given an open-ended square pyramid with a slant height of $60$ cm and a square base with an e...

Surface AreaPyramids3D GeometryArea Calculation
2025/4/21

We are given that conical paper cups have a slant height of 4.5 inches and a diameter of 3 inches. A...

VolumeCone3D GeometryWord Problem
2025/4/21

The problem states that an airline uses a rectangular prism to hold carry-on luggage. The dimensions...

VolumeRectangular PrismUnits ConversionArithmetic
2025/4/21

The problem asks to describe the shape of a horizontal cross-section for each of the given 3D figure...

3D ShapesCross-sectionsPyramidsSpheresPrismsShapes
2025/4/21

The problem asks to determine whether you would use Lateral Area (LA), Surface Area (SA), or Volume ...

Surface AreaLateral AreaVolume3D Shapes
2025/4/21

We are given two problems. (a) A cylinder with radius $3.5$ cm has its two ends closed. If the total...

CylinderSurface AreaCirclesTangentAnglesAlternate Segment Theorem
2025/4/21

Point Y is 60 km away from point X on a bearing of 135 degrees. Point Z is 80 km away from point X o...

TrigonometryBearingPythagorean TheoremTriangleAngle Calculation
2025/4/21

The problem asks to calculate the perimeter of the cross-section of a railway tunnel. The cross-sect...

Arc LengthLaw of CosinesPerimeterCircleTrigonometry
2025/4/21

The problem is a geometry problem. Pierre wants to calculate the distance between two buildings L an...

TrigonometryLaw of SinesRight TrianglesAnglesDistance Calculation
2025/4/21

Marc has eight rods of length 12 cm. He forms a rectangle with three rods along the length and one r...

RectanglePerimeterAreaMeasurement
2025/4/21