What is the surface of the rectangular pyramid?
(1 point)
• 1,643.2 cm₴
О 102,787.2 cm₴
О 1,178.8 ст₴
• 1,001.6 cm₴
base sides are 20 and 18
slant heights are 16.6 and 17.2
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 and add them together.
First, let's find the area of the base:
Area of the base = length x width = 20 cm x 18 cm = 360 cm²
Next, let's find the area of the triangular faces:
Area of triangular face 1 = 0.5 x base x height = 0.5 x 20 cm x 16.6 cm = 166 cm²
Area of triangular face 2 = 0.5 x base x height = 0.5 x 18 cm x 16.6 cm = 149.4 cm²
Area of triangular face 3 = 0.5 x base x height = 0.5 x 20 cm x 17.2 cm = 172 cm²
Area of triangular face 4 = 0.5 x base x height = 0.5 x 18 cm x 17.2 cm = 154.8 cm²
Now, let's add the areas together:
Surface area = area of base + area of all triangular faces
Surface area = 360 cm² + 166 cm² + 149.4 cm² + 172 cm² + 154.8 cm²
Surface area = 1002.2 cm²
Therefore, the surface area of the rectangular pyramid is 1,002.2 cm². None of the given options match exactly, but the closest answer is 1,001.6 cm².