The surface area of a rectangular pyramid can be calculated by finding the sum of the base area and the lateral area.
The base area of a rectangular pyramid is calculated by multiplying the length by the width: Base area = l × w = 13 cm × 11 cm = 143 cm².
The lateral area of a rectangular pyramid is calculated by finding the sum of the areas of the four triangular faces. Each triangular face has a base equal to the length of the rectangular base and a height equal to the height of the pyramid.
The area of each triangular face is calculated by multiplying 1/2 the base length and the height: Triangle area = 1/2 × l × h = 1/2 × 13 cm × 8 cm = 52 cm².
Since there are four triangular faces, the total lateral area is 4 × 52 cm² = 208 cm².
The surface area is the sum of the base area and the lateral area: Surface area = Base area + Lateral area = 143 cm² + 208 cm² = 351 cm².
Therefore, the surface area of this rectangular pyramid is 351 square centimeters.
Find the surface area of a rectangular pyramid with these measurements: l = 13cm, w = 11cm, and h= 8cm . Express your answer as a decimal rounded to the nearest hundredth
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