Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

A regular hexagonal prism has a height of 7 cm and base edge length of 4 cm. Identify its lateral area and surface area.

Sagot :

nuhulawal20

Given the base edge and the height, the lateral area and surface area of the regular hexagonal prism are 168cm² and 251.138cm² respectively.

What is lateral and surface area of the regular hexagonal prism?

For a regular hexagonal prism, the Lateral surface area and the surface area is expressed as follows:

Lateral Area = 6a × h

Surface Area = 6ah + 3√3a²

Where a is base edge and h is height.

Given that;

  • Base edge length a = 4cm
  • Height h = 7cm

The Lateral Area of the regular hexagonal prism will be;

Lateral Area = 6a × h

Lateral Area = 6( 4cm ) × 7cm

Lateral Area = 24cm × 7cm

Lateral Area = 168cm²

The Surface Area of the regular hexagonal prism will be;

Surface Area = 6ah + 3(√3)a²

Surface Area = 6(4cm × 7cm) + 3(√3)(4cm)²

Surface Area = 168cm² + 3(√3)16cm²

Surface Area = 168cm² + 83.138cm²

Surface Area = 251.138cm²

Given the base edge and the height, the lateral area and surface area of the regular hexagonal prism are 168cm² and 251.138cm² respectively.

Learn more about volume of prisms here: https://brainly.com/question/9796090

#SPJ1

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.