Find the volume of a pyramid with a square base, where the perimeter of the base is 12, point, 8, m12.8 m and the height of the pyramid is 12, point, 5, m12.5 m. Round your answer to the nearest tenth of a cubic meter.
Question
Find the volume of a pyramid with a square base, where the perimeter of the base is 12, point, 8, m12.8 m and the height of the pyramid is 12, point, 5, m12.5 m. Round your answer to the nearest tenth of a cubic meter.
Solution 1
To find the volume of a pyramid, you can use the formula: V = 1/3 * base area * height.
Step 1: Find the length of one side of the base. Since the base is a square and the perimeter is 12.8 m, each side of the square is 12.8 m / 4 = 3.2 m.
Step 2: Find the area of the base. Since the base is a square, the area is side length squared, which is 3.2 m * 3.2 m = 10.24 m^2.
Step 3: Substitute the base area and the height into the volume formula. V = 1/3 * 10.24 m^2 * 12.5 m = 42.67 m^3.
So, the volume of the pyramid is approximately 42.7 m^3 when rounded to the nearest tenth of a cubic meter.
Solution 2
To find the volume of a pyramid, you can use the formula: V = 1/3 * base area * height.
Step 1: Find the length of one side of the base. Since the base is a square and the perimeter is 12.8 m, each side of the square is 12.8 m / 4 = 3.2 m.
Step 2: Find the area of the base. Since the base is a square, the area is side length squared, which is 3.2 m * 3.2 m = 10.24 m^2.
Step 3: Substitute the base area and the height into the volume formula. V = 1/3 * 10.24 m^2 * 12.5 m = 42.67 m^3.
So, the volume of the pyramid is approximately 42.7 m^3 when rounded to the nearest tenth of a cubic meter.
Similar Questions
Find the volume of a pyramid with a square base, where the side length of the base is 4, point, 7, in4.7 in and the height of the pyramid is 4, point, 5, in4.5 in. Round your answer to the nearest tenth of a cubic inch.
Find the volume of a pyramid with a square base, where the area of the base is 6, point, 8, m, squared6.8 m 2 and the height of the pyramid is 8, point, 6, m8.6 m. Round your answer to the nearest tenth of a cubic meter
Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B has a volume of 20,736 in3. How many times bigger is the volume of pyramid B than pyramid A? (5 points)Group of answer choices15325475
The length of the base edge of a square pyramid is 6 ft, and the height of the pyramid is 20 ft. What is the volume of the pyramid? 720 ft3 360 ft3 240 ft3 120 ft3
Samantha has a diagram of a triangular pyramid. The height of the triangular pyramid is 6 mm, and the area of the base is 24 mm.What is the volume of the pyramid in cubic millimeters?ResponsesA 48 mm³48 mm³B 72 mm³72 mm³C 144 mm³144 mm³D 86 mm³
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.