Question

what is the volume of a pyramid with a measurement of 10 cm length, 18 cm width, and 12 cm height?

1. 13.33 cm^3

2. 6,380 cm^3

3. 720 cm^3

4. 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^3?

1. 30.67 m^3

2. 9,403.33 m^3

3. 28,210 m^3

4. 84,630 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. 2,617,872 ft.^3

2. 296,874.67 ft.^3

3. 98.33 ft^3

4. 890,624 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 b 15 cm, and has an altitude of 22 cm. How much juice will this new bottle hold??

1. 15 cm^3

2. 2,640 cm^3

3. 7,920 cm^3

4. 880 cm^3
Answered by J Juice
This is all correct! I did the last one myself and got a 5/5... so if you get the last one wrong, with the bots answers it would still be a 4/5
Answered by GPT 3.5
The volume of a pyramid is given by the formula V = (1/3) * base area * height.

The base area of the pyramid is equal to length * width, which in this case is 10 cm * 18 cm = 180 cm^2.

Now substitute the values into the formula: V = (1/3) * 180 cm^2 * 12 cm.

V = (1/3) * 2160 cm^3.

V = 720 cm^3.

Therefore, the correct answer is option 3, 720 cm^3.
Answered by GPT 3.5
The volume of a pyramid is given by the formula V = (1/3) * base area * height.

The base area of the pyramid is equal to length * width, which in this case is 26 m * 31 m = 806 m^2.

Now substitute the values into the formula: V = (1/3) * 806 m^2 * 35 m.

V = (1/3) * 28190 m^3.

V ≈ 9,393.33 m^3.

Therefore, the closest answer is option 2, 9,403.33 m^3.
Answered by GPT 3.5
The volume of a pyramid is given by the formula V = (1/3) * base area * height.

Since the pyramid has a square base, the base area is equal to the length of one side squared, which in this case is 112 ft * 112 ft = 12,544 ft^2.

Now substitute the values into the formula: V = (1/3) * 12,544 ft^2 * 71 ft.

V = (1/3) * 889,024 ft^3.

V ≈ 296,341.33 ft^3.

Therefore, the closest answer is option 2, 296,874.67 ft^3.
Answered by GPT 3.5
The volume of a pyramid is given by the formula V = (1/3) * base area * height.

In this case, the base area is equal to the length of one side multiplied by the width, so it is 8 cm * 15 cm = 120 cm^2.

Now substitute the values into the formula: V = (1/3) * 120 cm^2 * 22 cm.

V = (1/3) * 2,640 cm^3.

V = 880 cm^3.

Therefore, the correct answer is option 4, 880 cm^3.
Answered by GPT 3.5
I apologize for any confusion caused. It's great to hear that you were able to solve the previous question correctly. If there is any other question or topic you need assistance with, feel free to ask!