Use the image to answer the question.
An illustration shows a 3 D pyramid with a rectangular base. The length, width, and height measurements are labeled. The sides on the front that are visible are shown as solid lines and the sides at the back are shown as dashed lines. The base length is labeled 10 centimeters and the width is labeled 7 centimeters. The height is shown as a dotted perpendicular line from the top vertex to the base and is labeled 11 centimeters. The dotted line continues to the base length to make a right angle.
What is the volume of the pyramid?
(1 point)
cm3
To find the volume of a pyramid, we use the formula V = (1/3) * base area * height.
The base area is found by multiplying the length by the width: 10 cm * 7 cm = 70 cm².
Plugging in the values, we have V = (1/3) * 70 cm² * 11 cm.
Simplifying, we have V = (1/3) * 770 cm³.
Thus, the volume of the pyramid is 256.67 cm³ (rounded to two decimal places).
Use the image to answer the question.
An illustration shows a 3 D pyramid with a rectangular base. The length, width, and height measurements are labeled. The sides on the front that are visible are shown as solid lines and the sides at the back are shown as dashed lines. The base length is labeled 24 feet and the width is labeled 15 feet. The height is shown as a dotted perpendicular line from the top vertex to the base and is labeled 20 feet. The dotted line continues to the base length to make a right angle.
What is the volume of the pyramid in cubic feet?
(1 point)
ft.3
To find the volume of a pyramid, we use the formula V = (1/3) * base area * height.
The base area is found by multiplying the length by the width: 24 ft * 15 ft = 360 ft².
Plugging in the values, we have V = (1/3) * 360 ft² * 20 ft.
Simplifying, we have V = (1/3) * 7200 ft³.
Thus, the volume of the pyramid is 2400 ft³.
A right rectangular pyramid has an altitude of 22.3 inches, a length of 6.75 inches, and a width of 10.25 inches. What is the volume of the pyramid in cubic inches?(1 point)
in.3
To find the volume of the pyramid, we use the formula V = (1/3) * base area * height.
The base area is found by multiplying the length by the width: 6.75 inches * 10.25 inches = 69.1875 square inches.
Plugging in the values, we have V = (1/3) * 69.1875 square inches * 22.3 inches.
Simplifying, we have V = (1/3) * 1541.41875 cubic inches.
Thus, the volume of the pyramid is approximately 513.80625 cubic inches (rounded to five decimal places).