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.(1 point)Responses154 cm3 154 cm cubed616 cm3616 cm cubed952 cm3 952 cm cubed448 cm3 448 cm cubedSkip to navigation

Answer 1

To solve for the volume of the composite figure, we first need to find the volume of each individual shape and then add them together.

Volume of the rectangular prism:
Length x Width x Height = 14 cm x 5 cm x 4 cm = 280 cm³

Volume of each triangular prism:
Base x Height / 2 = (5 cm x 6 cm) / 2 = 15 cm²
15 cm² x 4 cm (height of the triangular prism) = 60 cm³
Since there are two identical triangular prisms, the total volume for both is 60 cm³ x 2 = 120 cm³

Total volume of the composite figure:
280 cm³ (rectangular prism) + 120 cm³ (two triangular prisms) = 400 cm³

Therefore, the volume of the composite figure is 400 cm³.