The total surface area of a rectangular pyramid can be calculated by adding the area of the base and the area of the four triangular faces.
For a rectangular pyramid with a base length of 25 cm, height of 12 cm, and side height of 16 cm:
Area of base = length x width = 25 cm x 12 cm = 300 cm^2
Area of each triangular face = (1/2) x base x height = (1/2) x 25 cm x 16 cm = 200 cm^2
Total surface area with base = 300 cm^2 + 4(200 cm^2) = 1100 cm^2
Total surface area without base = 4(200 cm^2) = 800 cm^2
Hunan would save 1100 cm^2 - 800 cm^2 = 300 cm^2 of ceramic per container by only making containers without the bottoms.
Hunan is making clock containers out of ceramic sheets that form rectangular pyramids. Some containers include the rectangular bottom and some do not. How much ceramic, measured in square centimeters, will Hunan save per container if she only makes containers without the bottoms? The bet shows a base 25 cm length, 12 height, and 16 cm height
1 answer