Find the surface area of a rectangular pyramid with these measurements:1=8cm,w=4cm,and h=2cm.and round it to the nearest hundredth
To find the surface area of a rectangular pyramid, we first need to find the area of the base, which is a rectangle, and then calculate the area of the four triangular faces.
The area of the base rectangle is found by multiplying the length and width: 8 cm * 4 cm = 32 cm^2.
Next, we need to find the area of each triangular face. Since the pyramid is rectangular, the height of each triangular face is the same as the height of the pyramid.
The area of a triangle is given by the formula: (base * height) / 2.
For the triangular faces with base 8 cm and height 2 cm:
Area = (8 cm * 2 cm) / 2 = 8 cm^2.
Now, we can find the total surface area by adding up the areas of the base and the four triangular faces:
Total surface area = area of base + 4 * area of triangular face
= 32 cm^2 + 4 * 8 cm^2
= 32 cm^2 + 32 cm^2
= 64 cm^2.
The surface area of the rectangular pyramid is 64 cm^2.