Page 3: Pyramids and Hexagonal Prisms

This page focuses on área y volumen de prismas y pirámides ejercicios, providing detailed solutions for problems involving hexagonal prisms and quadrangular pyramids.

Highlight: The page warns about a common mistake in pyramid calculations - confusing the height of the triangular face with the height of the entire figure.

It demonstrates the step-by-step process for calculating the surface area and volume of a hexagonal prism and a quadrangular pyramid. The solutions include the use of the Pythagorean theorem to find missing dimensions.

Example: For a hexagonal prism with a 12 cm height and 6 cm base edge, the total surface area is calculated as 619.2 cm² and the volume as 1123.2 cm³.

Page 4: Complex Pyramid Calculations and Cylinder Problems

The final page covers advanced ejercicios resueltos áreas y volúmenes 3 ESO pdf, focusing on pentagonal pyramids and cylinders. It demonstrates how to calculate area and volume when given various dimensions such as base apothem, base edge, and face height.

Vocabulary: Slant height - The distance from the apex of a pyramid to the midpoint of a side of the base.

The page also includes a problem involving a cylinder, showing how to calculate its surface area and volume using the formulas for circular area and cylindrical volume.

Example: For a cylinder with radius 2 cm and height 10 m, the lateral surface area is calculated as 2πrh = 2 * 3.14 * 2 * 10 = 125.6 cm².

This comprehensive set of exercises provides students with a thorough understanding of área y volumen de un prisma ejercicios resueltos and other geometric shapes, preparing them for more advanced mathematical concepts.