The correct answer is 24 in. squared.
To find the area of the triangular base of the prism, we need to calculate the area of the bottom rectangle (which is the base of the prism).
Area of the bottom rectangle = 80 sq. inches
Area of the middle rectangle = 64 sq. inches
Area of the left rectangle = 48 sq. inches
Therefore, the missing length of the middle rectangle (common base side of the right triangles) is:
80 - 64 - 48 = 16 sq. inches
This results in the base of the prism being a rectangle with an area of 16 sq. inches, which is equivalent to a square with an area of 4 sq. inches per side.
Since the base of the triangular prism is essentially a rectangle, the base of the prism is made up of two right triangles.
Area of a triangle = 1/2 * base * height
Area of the triangle = 1/2 * 4 * 6
Area of the triangle = 12 sq. inches
Therefore, the area of the triangular base of the prism is 12 sq. inches.
Use the image to answer the question.
An illustration shows a two-dimensional net of a triangular prism with all of its sides open and visible. The net appears as three rectangles joined next to each other. All 4 sides of the middle rectangle are drawn with dashed lines. The area of the left rectangle is 48 square inches. The area of the middle rectangle is 64 square inches, and the area of the rectangle on the right is 80 square inches. Two right triangles adjoin the middle rectangle at the top and bottom, with its perpendicular side measuring 6 inches and the common base side marked with a question mark.
Given the following net, what is the area of the triangular base?
(1 point)
Responses
8 inches
8 inches
48 in.2
48 in. squared
24 in.2
24 in. squared
10 inches
10 inches
1 answer