Use the image to answer the question.
An illustration shows the unfolded version of a triangular prism.
A long horizontal rectangle is divided into three horizontal segments. The length of the first and third rectangles are labeled as 9 and the width as 1.5. The length of the second rectangle, drawn with dashed lines, is 10.8. Two triangles are adjoined on the top and bottom of the second rectangle. The perpendicular height of the triangle is drawn with a dotted line from the apex to the center of the base and is labeled as 7.2. It is marked by a right angle symbol.
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, and the lateral faces are made of white cardboard. How much white cardboard is needed to make one pizza container?
(1 point)
in.2
To find the surface area of the white cardboard needed to make one pizza container, we need to find the area of the three rectangles that make up the lateral faces of the triangular prism.
The first and third rectangles have a length of 9 and a width of 1.5 each. Therefore, the area of each rectangle is 9 * 1.5 = 13.5 in^2.
The second rectangle has a length of 10.8 and a width of 1.5. Therefore, the area of the second rectangle is 10.8 * 1.5 = 16.2 in^2.
Since there are three rectangles in total, the total area of white cardboard needed is 13.5 * 2 + 16.2 = 43.2 in^2.
Therefore, 43.2 in^2 of white cardboard is needed to make one pizza container.