Page 1: Calculating Areas and Volumes of Geometric Figures
This page introduces ejercicios de áreas y volúmenes con soluciones for various geometric shapes. The problems focus on calculating the surface area and volume of three-dimensional figures.
The first problem deals with a cube with a side length of 6 cm. The solution demonstrates how to calculate its volume using the formula V = s³, where s is the length of the side.
Example: For a cube with side length 6 cm, the volume is calculated as V = 6³ = 216 cm³.
The second problem involves a rectangular prism with dimensions 7 cm width, 5 cm length, and 4 cm height. The solution shows how to calculate both the surface area and volume.
Highlight: The formula for the surface area of a rectangular prism is AT = 2Ab + Al, where Ab is the area of the base and Al is the lateral area.
The third problem introduces a hexagonal prism with base edge length of 4 m, base radius of 4.15 m, and height of 3 m. The solution demonstrates how to calculate the apothem of the base and use it to find the surface area and volume.
Vocabulary: The apothem is the perpendicular distance from the center of a regular polygon to one of its sides.
These exercises provide excellent practice for students studying área y volumen de prismas y pirámides ejercicios and área y volumen de un prisma rectangular.