Question
What is the volume of a pyramid with measurements 10 cm length, 18 cm width, and 12 cm height? (1 point)
• 2, 160 cm*
• 6,480 cm*
• 720 cm3
• 13.33 cm
• 2, 160 cm*
• 6,480 cm*
• 720 cm3
• 13.33 cm
Answers
Answered by
GPT 3.5
To find the volume of a pyramid, you can use the formula:
Volume = (1/3) * Base Area * Height
For this pyramid, the base is a rectangle with length 10 cm and width 18 cm. Therefore, the base area is 10 cm * 18 cm = 180 cm^2.
Plugging in the values into the formula:
Volume = (1/3) * 180 cm^2 * 12 cm
= 2160 cm^3
Therefore, the correct answer is: 2,160 cm^3.
Volume = (1/3) * Base Area * Height
For this pyramid, the base is a rectangle with length 10 cm and width 18 cm. Therefore, the base area is 10 cm * 18 cm = 180 cm^2.
Plugging in the values into the formula:
Volume = (1/3) * 180 cm^2 * 12 cm
= 2160 cm^3
Therefore, the correct answer is: 2,160 cm^3.
Answer
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 m?? (1 point)
• 30.67 m3
• 84, 630 m
O 9, 403.33 m
• 28, 210 m"
• 30.67 m3
• 84, 630 m
O 9, 403.33 m
• 28, 210 m"
Answered by
GPT 3.5
To find the volume of a right rectangular pyramid, you can use the formula:
Volume = (1/3) * Base Area * Height
For this pyramid, the base is a rectangle with length 26 m and width 31 m. Therefore, the base area is 26 m * 31 m = 806 m^2.
Plugging in the values into the formula:
Volume = (1/3) * 806 m^2 * 35 m
= 806 * 35 / 3 m^3
≈ 9403.33 m^3
Therefore, the correct answer is: 9,403.33 m^3.
Volume = (1/3) * Base Area * Height
For this pyramid, the base is a rectangle with length 26 m and width 31 m. Therefore, the base area is 26 m * 31 m = 806 m^2.
Plugging in the values into the formula:
Volume = (1/3) * 806 m^2 * 35 m
= 806 * 35 / 3 m^3
≈ 9403.33 m^3
Therefore, the correct answer is: 9,403.33 m^3.
Answer
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)
• 2, 671, 872 ft.3
• 890, 624 ft.
• 98.33 ft. 3
296, 874.67 ft.3
• 2, 671, 872 ft.3
• 890, 624 ft.
• 98.33 ft. 3
296, 874.67 ft.3
Answered by
GPT 3.5
To find the volume of a pyramid, you can use the formula:
Volume = (1/3) * Base Area * Height
For this pyramid, the base is a square with sides of length 112 feet. Therefore, the base area is 112 feet * 112 feet = 12,544 square feet.
Plugging in the values into the formula:
Volume = (1/3) * 12,544 ft^2 * 71 ft
= 12,544 * 71 / 3 ft^3
≈ 296,874.67 ft^3
Therefore, the correct answer is: 296,874.67 ft^3.
Volume = (1/3) * Base Area * Height
For this pyramid, the base is a square with sides of length 112 feet. Therefore, the base area is 112 feet * 112 feet = 12,544 square feet.
Plugging in the values into the formula:
Volume = (1/3) * 12,544 ft^2 * 71 ft
= 12,544 * 71 / 3 ft^3
≈ 296,874.67 ft^3
Therefore, the correct answer is: 296,874.67 ft^3.
Answer
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)
880 cm
• 7,920 cm?
• 15 ст3
• 2, 640 ст"
880 cm
• 7,920 cm?
• 15 ст3
• 2, 640 ст"
Answered by
GPT 3.5
To find the volume of the pyramid-shaped bottle, we can use the formula:
Volume = (1/3) * Base Area * Height
For this pyramid, the base is a rectangle with length 15 cm and width 8 cm. Therefore, the base area is 15 cm * 8 cm = 120 cm^2.
Plugging in the values into the formula:
Volume = (1/3) * 120 cm^2 * 22 cm
= 120 * 22 / 3 cm^3
≈ 880 cm^3
Therefore, the correct answer is: 880 cm^3.
Volume = (1/3) * Base Area * Height
For this pyramid, the base is a rectangle with length 15 cm and width 8 cm. Therefore, the base area is 15 cm * 8 cm = 120 cm^2.
Plugging in the values into the formula:
Volume = (1/3) * 120 cm^2 * 22 cm
= 120 * 22 / 3 cm^3
≈ 880 cm^3
Therefore, the correct answer is: 880 cm^3.
Answer
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)
• 37, 500 ft.3
• 112, 500 ft. 3
• 337, 500 ft.3
• 98.33 ft. 3
• 37, 500 ft.3
• 112, 500 ft. 3
• 337, 500 ft.3
• 98.33 ft. 3
Answered by
GPT 3.5
To find the volume of the upside-down rectangular pyramid-shaped trench, we can use the formula:
Volume = (1/3) * Base Area * Height
For this trench, the base is a rectangle with width 30 ft and length 250 ft. Therefore, the base area is 30 ft * 250 ft = 7,500 ft^2.
The height of the trench is given as 15 ft.
Plugging in the values into the formula:
Volume = (1/3) * 7,500 ft^2 * 15 ft
= 7,500 * 15 / 3 ft^3
≈ 37,500 ft^3
Therefore, the correct answer is: 37,500 ft^3.
Volume = (1/3) * Base Area * Height
For this trench, the base is a rectangle with width 30 ft and length 250 ft. Therefore, the base area is 30 ft * 250 ft = 7,500 ft^2.
The height of the trench is given as 15 ft.
Plugging in the values into the formula:
Volume = (1/3) * 7,500 ft^2 * 15 ft
= 7,500 * 15 / 3 ft^3
≈ 37,500 ft^3
Therefore, the correct answer is: 37,500 ft^3.