A store manager set up a cardboard display to advertise a new brand of perfume. The display is a square pyramid whose base is 18 inches on each side. The height of each triangular face of the pyramid is 12 inches. How much cardboard was used to make the display?
the base is 18*18
each side is a triangle of base 18 and height 12, so the faces have area
4*(18*12/2)
SO, just do the math.
You are wrong~!~~~~
4(18squared X 12 divided by 2)
A store manager set up a cardboard display to advertise a new brand of perfume. The display is a square pyramid whose base is 18 inches on each side. The height of each triangular face of the pyramid is 12 inches. How much cardboard was used to make the display?
To find out how much cardboard was used to make the display, we need to calculate the surface area of the cardboard used.
The square pyramid has a base that is a square, so its surface area is the sum of the areas of its four triangular faces (including the base).
First, let's calculate the area of one triangular face. The area of a triangle can be found using the formula:
Area = (base * height) / 2
Given that the base of each triangular face is 18 inches and the height is 12 inches, we can calculate the area of one triangular face:
Area of one triangular face = (18 * 12) / 2 = 216 square inches
Since the pyramid has four identical triangular faces, the total area of the four faces is:
Total area of four triangular faces = 4 * Area of one triangular face = 4 * 216 = 864 square inches
Additionally, we need to include the area of the square base of the pyramid. The area of a square is calculated by multiplying its side length by itself:
Area of square base = 18 * 18 = 324 square inches
Now, we can find the total surface area of the cardboard used in the display by adding the area of the four triangular faces and the area of the square base:
Total surface area = Total area of four triangular faces + Area of square base
= 864 square inches + 324 square inches
= 1188 square inches
Therefore, a total of 1188 square inches of cardboard was used to make the display.