Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

We are given a diagram where $PQ$ is a straight line. We have angles $x$, $y$, $z$ and $m$ such that...

AnglesStraight LinesAlgebraic Manipulation
2025/4/10

Question 37 asks to find the sum of the interior angles of a pentagon. Question 38 asks to calculate...

PolygonInterior AnglesSphereVolumeApproximation
2025/4/10

We are asked to find the lateral area ($L$) and surface area ($S$) of a triangular prism. The base o...

PrismsSurface AreaLateral AreaTriangles3D GeometryArea Calculation
2025/4/10

The problem asks us to find the surface area of a prism, given that the lateral area of the prism is...

Surface AreaPrismsArea CalculationGeometric ShapesPentagonEquilateral TriangleRectangle
2025/4/10

The problem asks us to find the lateral area of a prism whose bases are regular pentagons. The side ...

PrismLateral AreaPentagonArea Calculation
2025/4/10

The problem describes a rectangular prism (cake) with height $h = 4$ inches and base dimensions $l =...

Surface AreaRectangular Prism3D Geometry
2025/4/10

The problem describes a rectangular prism (cake) with a height of 4 inches and a base of 12 inches b...

Surface AreaRectangular PrismArea Calculation
2025/4/10

A cylinder has a lateral area of $120\pi$ square meters and a height of 7 meters. We need to find th...

CylinderSurface AreaRadiusGeometric FormulasApproximation
2025/4/10

Maddie is painting her shed. We need to approximate the surface area of the shed that will be painte...

Surface Area3D ShapesPrismsPythagorean TheoremApproximation
2025/4/10

The problem asks us to state the assumptions made while calculating the approximate surface area of ...

Surface Area3D ShapesApproximationRectangular PrismTriangular Prism
2025/4/10