Question

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

Answer 1

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: brainly.com/question/9796090

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