To calculate the volume of a pyramid, you can use the formula V = (1/3) * base area * height.
The base area of the given pyramid would be 10 cm * 18 cm = 180 cm².
Plugging in these values into the formula:
V = (1/3) * 180 cm² * 12 cm = 720 cm³.
Therefore, the volume of the pyramid is 720 cm³.
What is the volume of a pyramid with measurements 10 cm length, 18 cm width, and 12 cm height?(1 point)
Responses
720 cm3
720 cm cubed
6,480 cm3
6,480 cm cubed
2,160 cm3
2,160 cm cubed
13.33 cm3
9 answers
A right rectangular pyramid has an altitude of 35 m, a length of 26 m, and a width of 31 m. What is the volume of the pyramid in m3?(1 point)
Responses
84,630 m3
84,630 m cubed
9,403.33 m3
9,403.33 m cubed
28,210 m3
28,210 m cubed
30.67 m3
Responses
84,630 m3
84,630 m cubed
9,403.33 m3
9,403.33 m cubed
28,210 m3
28,210 m cubed
30.67 m3
To calculate the volume of a right rectangular pyramid, we can use the formula V = (1/3) * base area * height.
The base area of the pyramid would be 26 m * 31 m = 806 m².
Plugging in the values into the formula:
V = (1/3) * 806 m² * 35 m = 9,403.33 m³.
Therefore, the volume of the pyramid is approximately 9,403.33 m³.
The base area of the pyramid would be 26 m * 31 m = 806 m².
Plugging in the values into the formula:
V = (1/3) * 806 m² * 35 m = 9,403.33 m³.
Therefore, the volume of the pyramid is approximately 9,403.33 m³.
Use the volume formula to determine the volume of the pyramid at the Louvre Museum if it has a base that is 112 feet long on each side and has an altitude of 71 feet.(1 point)
Responses
2,671,872 ft.3
2,671,872 feet cubed
98.33 ft.3
98.33 feet cubed
296,874.67 ft.3
296,874.67 feet cubed
890,624 ft.3
Responses
2,671,872 ft.3
2,671,872 feet cubed
98.33 ft.3
98.33 feet cubed
296,874.67 ft.3
296,874.67 feet cubed
890,624 ft.3
To calculate the volume of a pyramid, we can use the formula V = (1/3) * base area * height.
The base area of the pyramid would be (112 ft * 112 ft) = 12,544 ft².
Plugging in the values into the formula:
V = (1/3) * 12,544 ft² * 71 ft = 296,874.67 ft³.
Therefore, the volume of the pyramid is approximately 296,874.67 ft³.
The base area of the pyramid would be (112 ft * 112 ft) = 12,544 ft².
Plugging in the values into the formula:
V = (1/3) * 12,544 ft² * 71 ft = 296,874.67 ft³.
Therefore, the volume of the pyramid is approximately 296,874.67 ft³.
J Juice brand wants to create a new bottle for their products. Their marketing department wants to design a pyramid–shaped bottle with a base that is 8 cm by 15 cm, and has an altitude of 22 cm. How much juice will this new bottle hold?(1 point)
Responses
880 cm3
880 cm cubed
7,920 cm3
7,920 cm cubed
15 cm3
15 cm cubed
2,640 cm3
Responses
880 cm3
880 cm cubed
7,920 cm3
7,920 cm cubed
15 cm3
15 cm cubed
2,640 cm3
To calculate the volume of the pyramid-shaped bottle, we can use the formula V = (1/3) * base area * height.
The base area of the pyramid would be (8 cm * 15 cm) = 120 cm².
Plugging in the values into the formula:
V = (1/3) * 120 cm² * 22 cm = 880 cm³.
Therefore, the new bottle will hold 880 cm³ of juice.
The base area of the pyramid would be (8 cm * 15 cm) = 120 cm².
Plugging in the values into the formula:
V = (1/3) * 120 cm² * 22 cm = 880 cm³.
Therefore, the new bottle will hold 880 cm³ of juice.
A construction company is digging a drainage trench. It makes the shape of an upside-down rectangular pyramid. The top opening will be 30 ft. wide by 250 ft. long, and the deepest part in the middle will be 15 ft. What is the capacity for this trench?(1 point)
Responses
37,500 ft.3
37,500 feet cubed
98.33 ft.3
98.33 feet cubed
112,500 ft.3
112,500 feet cubed
337,500 ft.3
Responses
37,500 ft.3
37,500 feet cubed
98.33 ft.3
98.33 feet cubed
112,500 ft.3
112,500 feet cubed
337,500 ft.3
To calculate the capacity of the upside-down rectangular pyramid trench, we can use the formula V = (1/3) * base area * height.
The base area of the trench would be (30 ft * 250 ft) = 7,500 ft².
The height of the trench would be the depth at the deepest part, which is 15 ft.
Plugging in the values into the formula:
V = (1/3) * 7,500 ft² * 15 ft = 112,500 ft³.
Therefore, the capacity of the trench is 112,500 ft³.
The base area of the trench would be (30 ft * 250 ft) = 7,500 ft².
The height of the trench would be the depth at the deepest part, which is 15 ft.
Plugging in the values into the formula:
V = (1/3) * 7,500 ft² * 15 ft = 112,500 ft³.
Therefore, the capacity of the trench is 112,500 ft³.
1 answer