Question

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)
___cm^3

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the volume of the pyramid, we need to use the formula: volume = (base area * height) / 3.

The base of the pyramid is a rectangle, so the base area is length * width. Plugging in the values given, the base area is 10 cm * 7 cm = 70 cm^2.

The height of the pyramid is given as 11 cm.

Using the formula for volume, we have:

volume = (70 cm^2 * 11 cm) / 3
volume = 770 cm^3 / 3
volume = 256.67 cm^3

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