A pyramid has a square base with a side length of 6 cm and a height of 9 cm. Wha

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Question: A pyramid has a square base with a side length of 6 cm and a height of 9 cm. What is its volume?

Options:

Correct Answer: 72 cm³

Solution:

Volume = (1/3) × base area × height = (1/3) × (6²) × 9 = 108 cm³.

A pyramid has a square base with a side length of 6 cm and a height of 9 cm. What is its volume?

A pyramid has a square base with a side length of 6 cm and a height of 9 cm. What is its volume?

Step 1: Identify the shape of the base of the pyramid. The base is a square.
Step 2: Find the area of the square base. The formula for the area of a square is side length × side length.
Step 3: Calculate the area of the base. Since the side length is 6 cm, the area is 6 cm × 6 cm = 36 cm².
Step 4: Identify the height of the pyramid. The height is given as 9 cm.
Step 5: Use the formula for the volume of a pyramid. The formula is Volume = (1/3) × base area × height.
Step 6: Substitute the values into the formula. Volume = (1/3) × 36 cm² × 9 cm.
Step 7: Calculate the volume. First, multiply 36 cm² by 9 cm to get 324 cm³.
Step 8: Now, divide 324 cm³ by 3 to find the volume. 324 cm³ ÷ 3 = 108 cm³.
Step 9: The volume of the pyramid is 108 cm³.

Volume of a Pyramid – The volume of a pyramid is calculated using the formula V = (1/3) × base area × height, where the base area for a square base is side length squared.
Area of a Square – The area of a square is calculated by squaring the length of one of its sides.