Volume of triangular prism
2 answers:
The volume of a triangular prism is the area of the base multiplied by the height. This can be represented as volume = base × height
Let's first identify our values:
<em>9 m = height of the prism</em>
<em>6 m = base of the triangle</em>
<em>8 m = height of the triangle</em>
First, we need to calculate the area of the triangle. To calculate the area of a triangle, the formula is base × height ÷ 2.
The base of the triangle is 6 and the height of the triangle is 8 so 6 multiplied by 8 will give us a product of 48. Next, we need to divide 48 by 2 and we will get a quotient of 24.
Finally, we need to multiply the area of the triangle by the height of the prism.
24 × 9 = 216
Therefore, the volume of the triangular prism is 216
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In order to determine whether the equations are parallel, perpendicular, or neither, let's simply each equation into a slope-intercept form or basically, solve for y.
Let's start with the first equation.
Cross multiply both sides of the equation.
Subtract 6x on both sides of the equation.
Divide both sides of the equation by -5.
Therefore, the slope of the first equation is 4/5.
Let's now simplify the second equation.
Add x on both sides of the equation.
Divide both sides of the equation by -4.
Therefore, the slope of the second equation is -5/4.
Since the slope of each equation is the negative reciprocal of each other, then the graph of the two equations is perpendicular to each other.
check the picture below.
now, if we split that triangle like so with that red line, we can use the right-triangle there, to get θ.
