A baking pan in the shape of a right triangle is shown.
Note: Figure is not drawn to scale.
What is the volume of the open area of the baking pan?
Since the baking pan is in the shape of a right triangle, we can find the area of the triangle first.
Let's say the two legs of the triangle are of lengths a and b, and the hypotenuse is of length c.
The area of a right triangle is given by the formula:
Area = 0.5 * base * height
In this case, the base and height of the triangle are a and b. So, the area of the right triangle is:
Area = 0.5 * a * b
The volume of the open area of the baking pan would be the area of the triangle multiplied by the height of the baking pan. Let's say the height of the baking pan is h. Then the volume would be:
Volume = Area * h
Substitute the area of the triangle into the formula:
Volume = (0.5 * a * b) * h
Therefore, the volume of the open area of the baking pan is 0.5 * a * b * h.