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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Answer:
4.9 × 10^24
Explanation:
^ means to the power so 4.9 × 10 to the power of 24
<h3>Answer:</h3>
AC ∈ {4, 5, 6, 7}
<h3>Explanation:</h3>
When two sides of a triangle are specified, the allowable values for the length of the third side are between the sum and difference of the given sides.
In ∆ACD, sides DA and CD are both given as length 4. Thus the possible range of values for side AC is 0 – 8. The extremes of this range result in ∆ACD having zero area, so we assume they are not of interest.
In ∆ACB, sides AB and BC are given as having lengths 3 and 6. Thus the possible range of values for side AC is 3 – 9. The extremes of this range result in ∆ACB having zero area, so we assume they are not of interest.
The integers that are in both ranges and that give triangles with non-zero area are ...
... AC ∈ {4, 5, 6, 7}
Answer:
90
Explanation:
So it is asking 100 times so that means it is asking for which is the greatest interval so 90 would be the right answer.
