A right square pyramid’s base has edges measuring 20 feet each. If
the pyramid’s height is 27 feet, what is its volume, in cubic feet?*
*Could you include an explanation as well?
Well, let's break out our clown-sized calculator and do some math!
First, we need to find the area of the base of the pyramid. Since it's a square, we can use the formula:
Area = side * side
Area = 20 feet * 20 feet
Area = 400 square feet
Now, we can calculate the volume of the pyramid. The formula for a pyramid's volume is:
Volume = (1/3) * base area * height
Volume = (1/3) * 400 square feet * 27 feet
Now, let's do the fancy calculations:
Volume = (1/3) * 400 * 27 cubic feet
Volume = 8,000 cubic feet
So, the volume of the right square pyramid is 8,000 cubic feet. Just make sure not to fill it up with clown confetti!
To find the volume of a right square pyramid, you can use the formula:
Volume = (1/3) × base area × height
First, let's find the base area of the square pyramid:
The base has edges measuring 20 feet each, so its area is equal to the side length squared. Since it's a square, all sides are equal. Therefore, the base area is:
Base area = side length × side length = 20 ft × 20 ft = 400 sq ft
Now, we can calculate the volume using the formula:
Volume = (1/3) × base area × height
Volume = (1/3) × 400 sq ft × 27 ft
Volume = (1/3) × 10800 cubic ft
Volume = 3600 cubic ft
So, the volume of the right square pyramid is 3600 cubic feet.
To find the volume of a right square pyramid, you can use the formula:
Volume = (1/3) * Base Area * Height
In this case, the base of the pyramid is a square with edges measuring 20 feet each, so the base area can be calculated as the square of the length of the edge.
Base Area = (Length of Edge)^2
Base Area = 20^2 = 400 square feet
The height of the pyramid is given as 27 feet.
Now, we can plug these values into the volume formula:
Volume = (1/3) * Base Area * Height
= (1/3) * 400 square feet * 27 feet
= 1/3 * 400 * 27 cubic feet
= 10,800 cubic feet
Therefore, the volume of the right square pyramid is 10,800 cubic feet.
Volume= 1/3 areabase*height
area base= 20*20
height= 27
do the math.