Luis plans to build a gazebo with a concrete floor shaped like a regular hexagon. Each side will measure 9 feet and the floor will be 8 inches deep. How many cubic feet of concrete are needed. (Divide hexagon into equilateral triangles and use Heron's formula to find area of top surface of the Hexagon) a.)Luis will need to buy _______ cubic feet of concrete for his gazebo? (Round to the nearest whole number) Recall that the formula for the volume V of a prism is V=Ah, where A represents the area of the base and h represents the height of the prism. To find the volume of the regular hexagon, divide the hexagon into 6 equilateral triangles and use Heron's formula to find the area of each triangle. Multiply that result by 6 to get the area of the base. Then multiply the area of the base by the height of the prism. Recall that Heron's formula for the area of an equilateral triangle with side length b is A=s(s−b)(cubed), where s is defined as s=3b/2.
Luis plans to build a gazebo with a concrete floor shaped like a regular hexagon. Each side will measure 9 feet and the floor will be 8 inches deep. How many cubic feet of concrete are needed. (Divide hexagon into equilateral
a.)Luis will need to buy _______
cubic feet of concrete for his gazebo?
(Round to the nearest whole number)
Recall that the formula for the volume V of a prism is V=Ah, where A represents the area of the base and h represents the height of the prism. To find the volume of the regular hexagon, divide the hexagon into 6 equilateral triangles and use Heron's formula to find the area of each triangle. Multiply that result by 6 to get the area of the base. Then multiply the area of the base by the height of the prism. Recall that Heron's formula for the area of an equilateral triangle with side length b is A=s(s−b)(cubed), where s is defined as s=3b/2.
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