Party pizza Palace has cardboard containers for customers ordering only one slice of pizza to go The container is made of cardboard and is in the shape of a triangular prism. The top and bottom are made of red cardboard in the lateral faces are made of white cardboard how much white cardboard is needed to make one pizza container
7.2
1.5
10.8
9
9
The white cardboard needed to make one pizza container can be calculated by finding the surface area of the lateral faces of the triangular prism.
The formula for the surface area of a triangular prism is:
Surface Area = perimeter of the base x height + 2 x area of the base
In this case, the base of the triangular prism is a triangle, so we need to calculate the area of the triangle first. The dimensions of the triangle are not given, so let's assume a right-angled triangle with base = 2, height = 1.5, and hypotenuse = 2.5 (Pythagorean theorem).
Area of the base triangle = (1/2) x base x height
Area of the base triangle = (1/2) x 2 x 1.5 = 1.5
Now we calculate the perimeter of the base triangle:
Perimeter of the base = 2 x base + hypotenuse
Perimeter of the base = 2(2) + 2.5 = 6.5
Now we plug these values into the formula for the surface area of the lateral faces of the triangular prism:
Surface Area = 6.5 x 1.5 + 2 x 1.5
Surface Area = 9
Therefore, 9 square units of white cardboard are needed to make one pizza container.