ACTIVITY 1 Mathematics is deeply embedded in the physical properties, measurements, and proportions of objects, including cups. The shape of a glass cup can be described using mathematical concepts, such as its cylindrical shape with a circular base and curved surface. The dimensions of the cup, such as its height and radius, can be measured and calculated using mathematical formulas. The volume and capacity of a glass cup can be determined using mathematical formulas, such as V = πr^2h, where V is the volume, r is the radius of the base, and h is the height of the cup. Measurements of the cup's dimensions, such as height, diameter, or circumference, are essential for various purposes, such as determining the right amount of liquid to pour or ensuring it fits in a specific space. Mathematical principles are also used in the study of materials used in glass cups, such as density, thermal expansion, and refractive index. These mathematical concepts provide a framework for understanding and describing the physical properties, measurements, and proportions of objects, including cups.