What is the surface area of the rectangular pyramid?

(1 point)
cm2

1 answer

To calculate the surface area of a rectangular pyramid, you'll need the dimensions of the base and the height of the pyramid. The surface area consists of the area of the rectangular base plus the area of the four triangular sides.

Assuming the base of the pyramid is a rectangle with length \( l \) and width \( w \), and the slant height \( s \) of the triangular sides can be calculated (if the height of the pyramid \( h \) is known).

The formula for the surface area \( SA \) of a rectangular pyramid is given by:

\[ SA = l \cdot w + \frac{1}{2} \times (l \cdot s) + \frac{1}{2} \times (w \cdot s) \]

Where:

  • \( l \cdot w \) is the area of the base,
  • \( \frac{1}{2} \times (l \cdot s) \) is the area of two triangular sides with base \( l \),
  • \( \frac{1}{2} \times (w \cdot s) \) is the area of the other two triangular sides with base \( w \).

However, without specific values for \( l \), \( w \), and the slant height or height of the pyramid, I cannot provide a numerical answer. Please provide these values so that we can calculate the surface area together!