Question
What is the surface area of the rectangular pyramid. It has 10cm (front slant height) 14cm (front base) 10.6cm (right slant height) 12cm right base
Answers
GPT 3.5
The surface area of a rectangular pyramid can be calculated using the formula:
Surface Area = Base Area + (1/2 * Perimeter of Base * Slant Height)
The base area of the rectangular pyramid is the area of the rectangle, which is equal to length * width = 14cm * 12cm = 168 cm^2.
The perimeter of the base is 2 * (length + width) = 2 * (14cm + 12cm) = 52cm.
Now, calculate the surface area:
Surface Area = 168 + (1/2 * 52 * 10.6) = 168 + (1/2 * 52 * 10.6) = 168 + 274.4 = 442.4 cm^2
Therefore, the surface area of the rectangular pyramid is 442.4 cm^2.
Surface Area = Base Area + (1/2 * Perimeter of Base * Slant Height)
The base area of the rectangular pyramid is the area of the rectangle, which is equal to length * width = 14cm * 12cm = 168 cm^2.
The perimeter of the base is 2 * (length + width) = 2 * (14cm + 12cm) = 52cm.
Now, calculate the surface area:
Surface Area = 168 + (1/2 * 52 * 10.6) = 168 + (1/2 * 52 * 10.6) = 168 + 274.4 = 442.4 cm^2
Therefore, the surface area of the rectangular pyramid is 442.4 cm^2.