The volume of a rectangular pyramid is 4,000 cubic feet. The area of the base is 40 square feet. What is the height of the pyramid?
400
v = 1/3 * base area * height
4000 = 1/3 * 40 * ?
To find the height of the pyramid, we can use the formula for the volume of a rectangular pyramid:
Volume = (1/3) * base area * height
Given that the volume of the pyramid is 4,000 cubic feet and the base area is 40 square feet, we can substitute these values into the formula:
4,000 = (1/3) * 40 * height
To isolate the height, we can multiply both sides of the equation by 3:
12,000 = 40 * height
Now, we can solve for the height by dividing both sides of the equation by 40:
height = 12,000 / 40
Simplifying the expression:
height = 300
Therefore, the height of the pyramid is 300 feet.
To find the height of the pyramid, you can use the formula for the volume of a rectangular pyramid, which is given by V = (1/3) * base area * height.
We know that the volume (V) of the pyramid is 4,000 cubic feet, and the area of the base is 40 square feet. Let's denote the height of the pyramid as h.
Substituting the given values into the formula, we get:
4,000 = (1/3) * 40 * h.
We can simplify this equation by multiplying both sides by 3:
12,000 = 40 * h.
Now, divide both sides by 40:
12,000 / 40 = h.
Simplifying the equation further, we have:
300 = h.
Therefore, the height of the pyramid is 300 feet.