Use the image to answer the question.
An illustration shows a rectangular pyramid with a length of 14 inches, a width of 6 inches, and a perpendicular height of 12 inches. The face with the length of 6 inches has a slant height of 13.89 inches. The right and front faces are visible. Edges and faces that are not visible are indicated by dashed lines.
How many cubic inches does this rectangular pyramid contain? Round answer to the nearest whole number.
The volume of a square pyramid can be calculated using the formula:
Volume = (1/3) * base area * height
Given that the ornament is a square pyramid with side lengths of 2.75 in, the base area can be calculated as:
Base area = side length * side length = 2.75 in * 2.75 in = 7.5625 in²
Now, we can plug the values into the formula to find the volume of the ornament:
Volume = (1/3) * 7.5625 in² * 2.75 in
Volume ≈ 6.93 in³
Therefore, the approximate volume of the ornament is 6.93 cubic inches.
The answer is: 6.93 in.3 (or 6.93 in. cubed).
The volume of a rectangular pyramid is given by the formula:
Volume = (1/3) * base area * height
First, calculate the base area of the rectangular pyramid:
Base area = length * width
Base area = 14 inches * 6 inches = 84 square inches
Now, calculate the volume of the rectangular pyramid:
Volume = (1/3) * 84 square inches * 12 inches
Volume = 336 cubic inches
Therefore, the rectangular pyramid contains 336 cubic inches.
Use the image to answer the question.
An illustration shows a square rectangular pyramid with a side length of 12 meters, a perpendicular height of 10 meters, and a slant height of 11.66 meters. The right and front faces are visible. Edges and faces that are not visible are indicated by dashed lines.
What is the volume of the rectangular pyramid?
The volume of a square pyramid is given by the formula:
Volume = (1/3) * base area * height
In this case, the base of the pyramid is a square with sides of 12 meters. So, the base area can be calculated as:
Base area = side length * side length
Base area = 12 meters * 12 meters
Base area = 144 square meters
Now, plug in the values into the formula to find the volume of the pyramid:
Volume = (1/3) * 144 square meters * 10 meters
Volume = 480 cubic meters
Therefore, the volume of the rectangular pyramid is 480 cubic meters.
Use the formula for the volume of a rectangular pyramid to find the volume of a pyramid-shaped tent whose height is 75 in., width is 111 in., and length is 111 in. when standing.(1 point)
Responses
400,000 in.3
400,000 in. cubed
308,025 in.3
308,025 in. cubed
33,034.03 in.3
33,034.03 in. cubed
924,075 in.3
The volume of a rectangular pyramid is given by the formula:
Volume = (1/3) * base area * height
The base area of a rectangular pyramid is calculated by multiplying the length by the width. In this case, the length is 111 inches and the width is 111 inches, so:
Base area = 111 in * 111 in = 12321 in²
Now, we can plug the values into the volume formula:
Volume = (1/3) * 12321 in² * 75 in
Volume = 308025 in³
Therefore, the volume of the pyramid-shaped tent is 308,025 in³.
The answer is: 308,025 in.3 (or 308,025 in. cubed).
A cell phone telecommunication tower stands in the shape of a rectangular pyramid. The tower stands 80 m tall and rests on a base that is 15 m by 20 m. What is the volume of the tower?(1 point)
Responses
24,000 m3
24,000 m cubed
70 m3
70 m cubed
8,000 m3
8,000 m cubed
12,000 m3
The volume of a rectangular pyramid can be calculated using the formula:
Volume = (1/3) * base area * height
First, we need to calculate the base area of the rectangular pyramid, which is the area of the 15 m by 20 m base:
Base area = length * width = 15 m * 20 m = 300 m^2
Now, we can plug the values into the formula to find the volume of the tower:
Volume = (1/3) * 300 m^2 * 80 m = 8,000 m^3
Therefore, the volume of the tower is 8,000 m^3.
The answer is: 8,000 m3 (or 8,000 m cubed).
A holiday ornament in the shape of a square pyramid has the following dimensions: 2.75 x 2.75 x 2.75 in. What is the approximate volume of the ornament? Round your answer to the nearest hundredth.(1 point)
Responses
6.93 in.3
6.93 in. cubed
20.80 in.3
20.80 in. cubed
24.47 in.3
24.47 in. cubed
9.01 in.3