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

1 answer

To find the volume of a pyramid, you can use the formula V = (1/3) * base area * height.

In this case, the base of the pyramid is a rectangle with a length of 10 cm and a width of 7 cm. The area of the base can be calculated as length * width = 10 cm * 7 cm = 70 cm^2.

The height of the pyramid is given as 11 cm.

Now, we can substitute these values into the formula:
V = (1/3) * 70 cm^2 * 11 cm
V = (1/3) * 770 cm^3
V = 256.67 cm^3

So, the volume of the pyramid is approximately 256.67 cm^3.