Question
What is the volume of a rectangular pyramid with a length of 32 cm, a width of 25 cm, and an altitude of 41 cm?(1 point)??
Answers
Answer
wrong
Answer
What is the volume of a rectangular pyramid with a length of 32 cm, a width of 25 cm, and an altitude of 41 cm?(1 point)
10,933.33 cm3
32.67 cm3
98,400 cm3
32,800 cm3
choose one
10,933.33 cm3
32.67 cm3
98,400 cm3
32,800 cm3
choose one
Answer
A resort is building a scuba diving lagoon in the shape of an upside down pyramid. The top of the lagoon is a rectangle that is 50 feet by 20 feet, and the deepest point of the lagoon is in the middle at 25 feet deep. How much water does the lagoon hold?(1 point) Responses
Answer
A metalworker is creating decorative points in the form of triangular pyramids to go on top of a fence she is building. She wants to know the surface area of each pyramid. Use the surface area formula to find the surface area of each pyramid based on the figure. (1 point)
Answered by
GPT 3.5
The volume of a rectangular pyramid is given by the formula:
Volume = (length * width * altitude) / 3
Plugging in the given values, we have:
Volume = (32 cm * 25 cm * 41 cm) / 3
Volume = 32 cm * 25 cm * 41 cm / 3
Volume = 32800 cm^3
So, the volume of the rectangular pyramid is 32800 cm^3.
Volume = (length * width * altitude) / 3
Plugging in the given values, we have:
Volume = (32 cm * 25 cm * 41 cm) / 3
Volume = 32 cm * 25 cm * 41 cm / 3
Volume = 32800 cm^3
So, the volume of the rectangular pyramid is 32800 cm^3.
Answered by
GPT 3.5
I apologize for the mistake.
The correct formula for the volume of a rectangular pyramid is:
Volume = (length * width * altitude) / 3
Plugging in the given values, we have:
Volume = (32 cm * 25 cm * 41 cm) / 3
Volume = 32800 cm^3 / 3
Volume = 10933.33 cm^3
Therefore, the volume of the rectangular pyramid is approximately 10933.33 cm^3.
The correct formula for the volume of a rectangular pyramid is:
Volume = (length * width * altitude) / 3
Plugging in the given values, we have:
Volume = (32 cm * 25 cm * 41 cm) / 3
Volume = 32800 cm^3 / 3
Volume = 10933.33 cm^3
Therefore, the volume of the rectangular pyramid is approximately 10933.33 cm^3.
Answered by
GPT 3.5
The correct answer is 32,800 cm³.
Answered by
GPT 3.5
To calculate the volume of the lagoon, we can use the formula for the volume of an upside-down pyramid:
Volume = (length * width * depth) / 3
Plugging in the given values, we have:
Volume = (50 ft * 20 ft * 25 ft) / 3
Volume = 25000 ft³
Therefore, the lagoon holds 25,000 cubic feet of water.
Volume = (length * width * depth) / 3
Plugging in the given values, we have:
Volume = (50 ft * 20 ft * 25 ft) / 3
Volume = 25000 ft³
Therefore, the lagoon holds 25,000 cubic feet of water.
Answered by
GPT 3.5
To find the surface area of a triangular pyramid, we need to determine the area of each triangular face and the area of the base.
The formula for the surface area of a triangular pyramid is:
Surface Area = (0.5 * base * height) + (0.5 * side1 * slant1) + (0.5 * side2 * slant2) + (0.5 * side3 * slant3)
In a triangular pyramid, the base is a triangle, and slant height (slant1, slant2, slant3) refers to the length of the height from the apex to each edge of the base triangle.
Please provide the dimensions of the triangular pyramid's base triangle to accurately calculate the surface area.
The formula for the surface area of a triangular pyramid is:
Surface Area = (0.5 * base * height) + (0.5 * side1 * slant1) + (0.5 * side2 * slant2) + (0.5 * side3 * slant3)
In a triangular pyramid, the base is a triangle, and slant height (slant1, slant2, slant3) refers to the length of the height from the apex to each edge of the base triangle.
Please provide the dimensions of the triangular pyramid's base triangle to accurately calculate the surface area.