To find the volume of the triangular prism container, we use the formula: Volume = Area of base x height.
First, we need to find the area of the triangular base. The base of the prism is a triangle with base 9 inches and height 7.2 inches.
Area = 1/2 x base x height
Area = 1/2 x 9 x 7.2
Area = 32.4 square inches
Next, we multiply the area of the base by the height of the prism (1.5 inches) to find the volume:
Volume = 32.4 x 1.5
Volume = 48.6 cubic inches
Therefore, the volume of the container is 48.6 cubic inches. None of the provided answer options match this exact calculation, but the closest option is 58.32 in.³.
A container in the shape of a triangular prism is used to hold a slice of pizza. The dimensions of the container are shown in the diagram.
Pizza, 10.8 inches, 7.2 inches, 1.5 inches, 9 inches
What is the volume of the container in cubic inches?
58.32 in.³
116.64 in.³
19.44 in.³
28.5 in.³
1 answer
1 answer