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? rounds answer to the nearest whole number.
389 in.^3
336 in.^3
1008 in.^3
1167 in.^3
To find the volume of a rectangular pyramid, you can use the formula: V = (1/3) * length * width * height.
Plugging in the values given:
V = (1/3) * 14 * 6 * 12
V = (1/3) * 1008
V = 336 cubic inches
Therefore, the rectangular pyramid contains 336 cubic inches, rounded to the nearest whole number. So the answer is 336 in.^3.
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?
144 m^3
1440 m^3
559.68^3
480^3
To find the volume of a rectangular pyramid, you can use the formula: V = (1/3) * (base area) * height.
First, calculate the base area of the square base:
Base area = side length^2
Base area = 12^2 = 144 square meters
Now, use the volume formula:
V = (1/3) * 144 * 10
V = 480 cubic meters
Therefore, the volume of the rectangular pyramid is 480 cubic meters. So the answer is 480 m^3.
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.
924075 in.^3
308025 in.^3
400000 in.^3
33034.03 in.^3
To find the volume of the rectangular pyramid (tent), we can use the formula: V = (1/3) * length * width * height.
Given:
Height (h) = 75 in.
Width (w) = 111 in.
Length (l) = 111 in.
Plugging the values into the formula:
V = (1/3) * 111 * 111 * 75
V = (1/3) * 924075
V = 308025 cubic inches
Therefore, the volume of the pyramid-shaped tent is 308025 cubic inches. So the answer is 308025 in.^3.
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?
12000 m^3
8000 m^3
24000 m^3
70 m^3
To find the volume of the rectangular pyramid tower, we use the formula: V = (1/3) * base area * height.
Given:
Height (h) = 80 m
Width (w) = 20 m
Length (l) = 15 m
First, calculate the base area:
Base area = length * width
Base area = 20 * 15 = 300 square meters
Now, plug the values into the formula to find the volume:
V = (1/3) * 300 * 80
V = (1/3) * 24000
V = 8000 cubic meters
Therefore, the volume of the rectangular pyramid-shaped cell phone tower is 8000 cubic meters. The answer is 8000 m^3.
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.
6.93 in.^3
20.80 in.^3
24.47 in.^3
9.01 in.^3
To find the volume of the square pyramid ornament, we use the formula: V = (1/3) * (base area) * height.
Given:
Length of side (s) = 2.75 in.
First, calculate the base area:
Base area = side length^2
Base area = 2.75^2 = 7.5625 square inches
Now, plug the values into the formula to find the volume:
V = (1/3) * 7.5625 * 2.75
V = 6.9271 cubic inches
Rounded to the nearest hundredth, the volume of the ornament is approximately 6.93 cubic inches. So the answer is 6.93 in.^3.