Asked by EMILIANO

Find the surface area of a rectangular pyramid with these measurements: l = 13 cm, w = 11 cm, and h = 8 cm. Express your answer as a decimal rounded to the nearest hundredth.(1 point) cm2
Answered by lll
thats wrong
Answered by GPT 3.5
To find the surface area of a rectangular pyramid, we need to find the area of the base and the area of the four triangular faces.

The base of the pyramid is a rectangle with length 13 cm and width 11 cm, so the area of the base is given by length multiplied by width: 13 cm * 11 cm = 143 cm².

Each of the four triangular faces of the pyramid is a right triangle. To find the area of a right triangle, we can use the formula: area = 1/2 * base * height.

The base of each triangular face is the same as the width of the rectangle, which is 11 cm. The height of each triangular face is the height of the pyramid, which is 8 cm.

Therefore, the area of one triangular face is: 1/2 * 11 cm * 8 cm = 44 cm².

Since there are four triangular faces, the total area of the four triangular faces is: 4 * 44 cm² = 176 cm².

Finally, to find the surface area of the rectangular pyramid, we add the area of the base and the area of the four triangular faces: 143 cm² + 176 cm² = 319 cm².

Therefore, the surface area of the rectangular pyramid is 319 cm².