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

Question

2 years ago

6

volume. round your answer to the nearest hundredth.

1 answer:

Mademuasel [1] · Answer 1 · 2023-03-17T09:17:44+03:00

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

<h3>What is a triangular prism?</h3>

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;

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: brainly.com/question/24046619

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