Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The area of a circle is given as $132.7$ square centimeters. We need to find the diameter of the cir...
Area of a CircleDiameterRadiusPiCalculationApproximation
2025/4/14
A rectangle is placed around a semicircle. The length of the rectangle is 14 ft. We need to find the...
AreaRectangleSemicirclePiGeometric Shapes
2025/4/14
A sphere is inscribed inside a cube. The sphere touches each face of the cube at one point. The leng...
Surface AreaCubeSphereGeometric ShapesRatio
2025/4/14
We are asked to find the lateral area ($L$) and surface area ($S$) of a cone, given its diameter and...
ConeSurface AreaLateral AreaRadiusDiameterSlant HeightArea CalculationRounding
2025/4/14
We are asked to find the surface area of a sphere to the nearest tenth. The diameter of the sphere i...
Surface AreaSphereDiameterRadiusApproximation
2025/4/14
The problem asks us to find the surface area $A$ of a sphere given its diameter $D = 19.8$ mm. We ar...
Surface AreaSphereDiameterRadiusFormulaApproximationUnits
2025/4/14
The problem asks to find the lateral area ($L$) and surface area ($S$) of a cone. The radius ($r$) o...
ConeSurface AreaLateral AreaArea Calculation3D Geometry
2025/4/14
The problem asks us to find the lateral area ($L$) and surface area ($S$) of a regular hexagonal pyr...
PyramidsSurface AreaLateral AreaHexagons3D GeometryArea Calculation
2025/4/14
A monument has the shape of a rectangular prism with a square pyramid on top. The dimensions are giv...
Surface AreaRectangular PrismSquare PyramidPythagorean TheoremArea CalculationWord Problem
2025/4/14
The problem asks to find the lateral area ($L$) and surface area ($S$) of a regular triangular pyram...
Surface AreaLateral AreaPyramidsTrianglesArea Calculation3D Geometry
2025/4/14