Unravel the Mysteries of Pyramids

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Questions and Answers

What is the formula for finding the surface area of a pyramid?

The formula for finding the surface area of a pyramid is $B + (P \cdot s)/2$, where $B$ is the base area, $P$ is the base perimeter, and $s$ is the slant height.

How do you calculate the base area of a square pyramid?

To calculate the base area of a square pyramid, you multiply the length of one side of the square base by itself, i.e., $side \cdot side$.

What is the formula for finding the volume of a pyramid?

The formula for finding the volume of a pyramid is $(B \cdot h)/3$, where $B$ is the base area and $h$ is the height.

What is the volume of the pyramid in the example?

The volume of the pyramid in the example is $93,750,000$ feet cubed. Signup and view all the answers

Why is the answer for volume always cubed?

The answer for volume is always cubed because volume represents the three-dimensional space inside an object, and therefore has three dimensions. Signup and view all the answers

What is the formula for finding the surface area of a square pyramid?

Surface Area = B + (P * s)/2 Signup and view all the answers

What is the formula for finding the volume of a square pyramid?

Volume = (B * h)/3 Signup and view all the answers

What is the base area of the square pyramid in the example?

562,500 sq ft Signup and view all the answers

What is the base perimeter of the square pyramid in the example?

3,000 ft Signup and view all the answers

What is the surface area of the square pyramid in the example?

1,537,500 feet squared Signup and view all the answers

What are the four important measurements needed to find the surface area and volume of a pyramid?

The four important measurements needed to find the surface area and volume of a pyramid are the area of the base (B), the perimeter of the base (P), the height of the pyramid (h), and the slant length. Signup and view all the answers

How do you calculate the area of the base for a square pyramid?

To calculate the area of the base for a square pyramid, you multiply the length and the width of the base (B = length \times width). Signup and view all the answers

How do you calculate the area of the base for a triangular pyramid?

To calculate the area of the base for a triangular pyramid, you multiply the length and the height of the triangle and divide by two (B = \frac{1}{2} \times length \times height). Signup and view all the answers