To find the volume of the composite figure, we first need to find the volume of the rectangular prism and the volume of the two triangular prisms.
Volume of the rectangular prism = length x width x height
Volume = 14 cm x 5 cm x 4 cm
Volume = 280 cm³
Volume of one triangular prism = 1/2 x base x height x length
Volume = 1/2 x 5 cm x 6 cm x 14 cm
Volume = 210 cm³
Since there are two identical triangular prisms, the total volume of both triangular prisms is:
Total volume of both triangular prisms = 2 x 210 cm³ = 420 cm³
Therefore, the total volume of the composite figure is the sum of the volume of the rectangular prism and the volume of the two triangular prisms.
Total volume = 280 cm³ + 420 cm³
Total volume = 700 cm³
So, the volume of the composite figure is 700 cm³.
Use the image to answer the question.
An illustration shows a rectangular prism joined two triangular prisms on either side. The illustration shows two identical triangular prisms, each with one side attached to the length of the rectangular prism. The sides attached to the rectangular prism are oriented such that the triangular prisms are mirror images of one another. The length of the rectangular prism is 14 centimeters. The width and the height are 5 centimeters and 4 centimeters respectively. The distance from the apex of the triangular prism to the base is 6 centimeters.
Solve for the volume of the composite figure.
448 cm3
448 cm cubed
952 cm3
952 cm cubed
154 cm3
154 cm cubed
616 cm3
616 cm cubed
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