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
9,403.33 m3
9,403.33 m cubed
30.67 m3
30.67 m cubed
84,630 m3
84,630 m cubed
28,210 m3
To find the volume of a right rectangular pyramid, we use the formula:
Volume = (1/3) * length * width * height
Given:
Length = 26 m
Width = 31 m
Height/Altitude = 35 m
Plugging in these values into the formula, we get:
Volume = (1/3) * 26 * 31 * 35
Volume = 9,403.33 m^3
So, the correct answer is:
9,403.33 m^3
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
890,624 ft.3
890,624 feet cubed
296,874.67 ft
To find the volume of a pyramid, we use the formula:
Volume = (1/3) * base area * height
Given:
Base length = 112 ft
Altitude/Height = 71 ft
Since the base of the pyramid is square, the base area is calculated as:
Base Area = base length * base length = 112 ft * 112 ft = 12,544 ft^2
Now, we can plug in the values into the volume formula:
Volume = (1/3) * 12,544 ft^2 * 71 ft
Volume = 2,671,872 ft^3
So, the correct answer is:
2,671,872 ft^3
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
7,920 cm3
7,920 cm cubed
880 cm3
880 cm cubed
15 cm3
15 cm cubed
2,640 cm3
2,640 cm cubed
To find the volume of a pyramid-shaped bottle, we use the formula:
Volume = (1/3) * base area * height
Given:
Base length = 8 cm
Base width = 15 cm
Altitude/Height = 22 cm
The base area is calculated as:
Base Area = base length * base width = 8 cm * 15 cm = 120 cm^2
Now, we can plug in the values into the volume formula:
Volume = (1/3) * 120 cm^2 * 22 cm
Volume = 880 cm^3
So, the correct answer is:
880 cm^3
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
98.33 ft.3
98.33 feet cubed
112,500 ft.3
112,500 feet cubed
37,500 ft.3
37,500 feet cubed
337,500 ft.3
To find the capacity of the upside-down rectangular pyramid, we need to find its volume. The formula for the volume of a rectangular pyramid is:
Volume = (1/3) * base area * height
Given:
Top width = 30 ft
Top length = 250 ft
Deepest part = 15 ft
We need to find the base area at the top and the base area at the deepest part of the trench.
Base area at the top = top width * top length = 30 ft * 250 ft = 7,500 ft^2
Base area at the deepest part = (top width - 2 * depth) * (top length - 2 * depth)
= (30 ft - 2 * 15 ft) * (250 ft - 2 * 15 ft)
= (30 ft - 30 ft) * (250 ft - 30 ft)
= 0 ft * 220 ft
= 0 ft^2
We have a base area of 0 ft^2 at the deepest part, which means the trench does not have a volume as an upside-down rectangular pyramid.
Therefore, the correct answer is:
0 ft^3
what is the answer that is given
The correct answer that is given for the capacity of the trench is:
0 ft^3