Answer:
The volume of the box is 3/4 cubic meters.
Step-by-step explanation:
We know that volume = length * width * height. We have length, width, and height already, so all we have to do is multiply.
5/6 * 1 1/8 * 4/5. First we convert 1 1/8 from a mixed fraction, to give us 9/8, as 8/8 = 1.
5/6 * 9/8 * 4/5. 5 * 9 = 45, and 6 * 8 = 48. 45/48 reduces to 15/16.
15/16 * 4/5. 15 * 4 = 60, and 16 * 5 = 80. 60/80 reduces to 6/8, which reduces to 3/4.
An expression represents the perimeter, in centimeters, of this triangle is 6q + 8r - 5s.
<u>Given the following data:</u>
- b = (5q - 10s) centimeters.
- c = (5s + 7r) centimeters.
<h3>What is a triangle?</h3>
A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.
<h3>How to calculate the perimeter of a triangle?</h3>
Mathematically, the perimeter of a triangle can be calculated by using this formula:
P = a + b + c
<u>Where:</u>
a, b, and c are length of sides.
Substituting the given parameters into the formula, we have;
P = q + r + 5q - 10s + 5s + 7r
P = 6q + 8r - 5s centimeters.
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1. Height of the equilateral triangle is: √3 units
2. Area of the equilateral triangle = √3 units²
3. Area = √3/4 x², when each side is x.
<h3>What is an Equilateral Triangle?</h3>
A triangle that has all its three sides equal in length, is referred to as an equilateral triangle.
1. Given the each side measures 2 units, and h is the height, applying the Pythagorean theorem, we would have:
h = √(2² - 1²)
h = √(4 - 1)
h = √3
2. Area of the equilateral triangle = 1/2bh = 1/2(2)(√3)
Area of the equilateral triangle = √3 units²
3. If x is the side length of the equilateral triangle, we would have:
height (h) = √[x² - (x/2)²] = √[x² - x²/4] = √(3x²/4) = √3/2x
Area = 1/2bh = 1/2(x)(√3/2x) = √3/4 x²
Learn more about equilateral triangle on:
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