To find the length of the missing side of the base of the pyramid, we first need to calculate the perimeter of the base without the missing side.
Since one side of the base is 18 feet, and there are 4 sides to the base of a pyramid, the perimeter of the base is 4 x 18 = 72 feet.
We know that the total perimeter of the base is 66 feet, so the length of the missing side is 72 - 66 = 6 feet.
Now, to find the volume of the pyramid, we can use the formula:
Volume = (1/3) x base area x height
First, let's find the area of the base of the pyramid:
The base of the pyramid is a square with one side of 18 feet, so the area of the base is 18 x 18 = 324 square feet.
Now we can plug in the values into the formula:
Volume = (1/3) x 324 x 78 = 8424 cubic feet.
So, the length of the missing side of the base is 6 feet, and the volume of the pyramid is 8424 cubic feet.
the perimeter of the base of the pyramid is 66 feet. 18 feet is the length of one side of the base. the height is 78 feet. what is the length of the missing side of the base? find the volume of the pyramid?
5 answers
its wrong
I apologize for the error. Let's correct the solution.
Given:
Perimeter of the base = 66 feet
Length of one side of the base = 18 feet
Height = 78 feet
Since the perimeter of the base is 66 feet and one side is 18 feet, the remaining 3 sides together will be 66 - 18 = 48 feet. Since the base is a square, all sides are equal, so each side is 48 / 3 = 16 feet.
The missing side of the base is also 16 feet.
To find the volume of the pyramid, we can use the formula:
Volume = (1/3) x base area x height
First, let's find the area of the base of the pyramid, which is a square with sides of 16 feet:
Base Area = 16 x 16 = 256 square feet
Now we can calculate the volume:
Volume = (1/3) x 256 x 78 = 6656 cubic feet
Therefore, the length of the missing side of the base is 16 feet, and the volume of the pyramid is 6656 cubic feet.
Given:
Perimeter of the base = 66 feet
Length of one side of the base = 18 feet
Height = 78 feet
Since the perimeter of the base is 66 feet and one side is 18 feet, the remaining 3 sides together will be 66 - 18 = 48 feet. Since the base is a square, all sides are equal, so each side is 48 / 3 = 16 feet.
The missing side of the base is also 16 feet.
To find the volume of the pyramid, we can use the formula:
Volume = (1/3) x base area x height
First, let's find the area of the base of the pyramid, which is a square with sides of 16 feet:
Base Area = 16 x 16 = 256 square feet
Now we can calculate the volume:
Volume = (1/3) x 256 x 78 = 6656 cubic feet
Therefore, the length of the missing side of the base is 16 feet, and the volume of the pyramid is 6656 cubic feet.
how much bigger is a box that is 7 feet by 11 feet by 9 feet than the box below which is 3 feet by 9 feet by 3 feet
To find out how much bigger the first box is compared to the second box, we need to calculate the volumes of both boxes and then compare them.
For the first box with dimensions 7 feet by 11 feet by 9 feet:
Volume = length x width x height = 7 x 11 x 9 = 693 cubic feet
For the second box with dimensions 3 feet by 9 feet by 3 feet:
Volume = length x width x height = 3 x 9 x 3 = 81 cubic feet
The difference in volume between the bigger box and the smaller box is:
693 cubic feet - 81 cubic feet = 612 cubic feet
Therefore, the first box (7 ft x 11 ft x 9 ft) is 612 cubic feet bigger than the second box (3 ft x 9 ft x 3 ft).
For the first box with dimensions 7 feet by 11 feet by 9 feet:
Volume = length x width x height = 7 x 11 x 9 = 693 cubic feet
For the second box with dimensions 3 feet by 9 feet by 3 feet:
Volume = length x width x height = 3 x 9 x 3 = 81 cubic feet
The difference in volume between the bigger box and the smaller box is:
693 cubic feet - 81 cubic feet = 612 cubic feet
Therefore, the first box (7 ft x 11 ft x 9 ft) is 612 cubic feet bigger than the second box (3 ft x 9 ft x 3 ft).
1 answer