Use a formula to find the surface area of each polyhedron described.
(a) a rectangular prism that is 4 feet wide, as tall as it is wide, and twice as long as it is tall
_____ ft2
(b) a regular hexagonal pyramid with a base area of 166.3 square centimeters, a base side length of 8 centimeters, and a slant height of 8 centimeters
_____ cm2
+128474 (a) a rectangular prism that is 4 feet wide, as tall as it is wide, and twice as long as it is tall
_____ ft2
The surface area is 2 (W*L + H*L + W*H ) = 2 (4*8 + 4*8 + 4*4) = 160 ft^2
(b) a regular hexagonal pyramid with a base area of 166.3 square centimeters, a base side length of 8 centimeters, and a slant height of 8 centimeters
The surface area is given by : Area of the base + Area of 6 conguent triangles forming the sides =
166.3 + 6(1/2)(8)(8) = 166.3 + 3*64 = 166.3 + 192 = 358.3 cm^2
