Find the surface area of a rectangular pyramid with these measurements length equals 13 cm with equals 11 cm and height equals 8 cm express your answer, and as a decimal rounded to the nearest hundredth
To find the surface area of a rectangular pyramid, you need to find the area of each face and add them together.
The rectangular pyramid has 5 faces: the base and 4 triangular faces.
The area of the base, which is a rectangle, can be found by multiplying the length and width:
Area of base = length x width = 13 cm x 11 cm
The area of each triangular face can be found using the formula:
Area of triangular face = 1/2 x base x height
The base of each triangular face is equal to the length of the rectangular base, which is 13 cm. The height of each triangular face is equal to the height of the pyramid, which is 8 cm.
Area of each triangular face = 1/2 x 13 cm x 8 cm
To find the total surface area, you need to add the areas of all 5 faces:
Total surface area = Area of base + 4 x Area of triangular face
Total surface area = (13 cm x 11 cm) + 4 x (1/2 x 13 cm x 8 cm)
Simplifying the expression:
Total surface area = 143 cm^2 + 4 x 52 cm^2
Calculating:
Total surface area = 143 cm^2 + 208 cm^2
Total surface area = 351 cm^2
Therefore, the surface area of the rectangular pyramid is 351 cm^2.