Volume of Pyramids Practice
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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)
cm3
To calculate the volume of a pyramid, you can use the formula: V = (1/3) * base area * height.
Since the base of the pyramid is a rectangle, the base area can be calculated by multiplying the length and width of the base. So, the base area is: 10 cm * 7 cm = 70 cm^2.
Plugging in the values into the formula, we get: V = (1/3) * 70 cm^2 * 11 cm.
Simplifying, V = (70/3) * 11 cm^3 = 770/3 cm^3 ≈ 256.67 cm^3.
Therefore, the volume of the pyramid is approximately 256.67 cm^3.