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A prism has a height of 11.2 centimeters and an equilateral triangle for a base, where each base edge is 8 centimeters. find the volume. round your answer to the nearest hundredth.

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nuhulawal20

The volume of the triangular prism with the given height and base dimensions to the nearest hundredth is 310.38cm³.

What is a triangular prism?

A triangular prism is simply a three-dimensional solid with three rectangular sides and two triangular bases.

The volume of an equilateral triangular prism is expressed as;

V = (√3/4) × a² × h

Given the data in the question;

  • Height h = 11.2cm
  • Sides a = 8cm
  • Volume V = ?

We substitute our values into the equation above.

V = (√3/4) × a² × h

V = (√3/4) × (8cm)² × 11.2cm

V = (√3/4) × 64cm² × 11.2cm

V = 310.38cm³

Therefore, the volume of the triangular prism with the given height and base dimensions to the nearest hundredth is 310.38cm³.

Learn more about triangular prism here: https://brainly.com/question/24046619

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