To find the volume of the composite figure, we need to calculate the volume of the rectangular prism and the volume of the two triangular prisms separately and then add them together.
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 4 cm
Volume = 60 cm3
Volume of two triangular prisms = 2 x 60 cm3
Volume = 120 cm3
Total volume of the composite figure = Volume of rectangular prism + Volume of two triangular prisms
Total volume = 280 cm3 + 120 cm3
Total volume = 400 cm3
Therefore, the correct answer is not provided in the options. The volume of the composite figure is 400 cm3.
se 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)
Responses
616 cm3
616 cm cubed
952 cm3
952 cm cubed
448 cm3
448 cm cubed
154 cm3
5 answers
of the opains
I apologize for not providing the correct answer in the options. Let's go through the calculations again:
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 4 cm
Volume = 60 cm3
Volume of two triangular prisms = 2 x 60 cm3
Volume = 120 cm3
Total volume of the composite figure = Volume of rectangular prism + Volume of two triangular prisms
Total volume = 280 cm3 + 120 cm3
Total volume = 400 cm3
Since the correct answer is not listed in the options provided, I recommend going with the calculation we did: The volume of the composite figure is 400 cm3. Thank you for your understanding.
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 4 cm
Volume = 60 cm3
Volume of two triangular prisms = 2 x 60 cm3
Volume = 120 cm3
Total volume of the composite figure = Volume of rectangular prism + Volume of two triangular prisms
Total volume = 280 cm3 + 120 cm3
Total volume = 400 cm3
Since the correct answer is not listed in the options provided, I recommend going with the calculation we did: The volume of the composite figure is 400 cm3. Thank you for your understanding.
that is not in the options pick an answer from the options
Apologies for the oversight. Let's adjust the calculation to match one of the given options:
Since the provided options do not include the total volume of 400 cm3, we will need to recalculate based on the closest option provided.
Given:
Volume of the rectangular prism = 14 cm × 5 cm × 4 cm = 280 cm3
Volume of one triangular prism = 0.5 × 5 cm × 6 cm × 4 cm = 60 cm3
Volume of two triangular prisms = 2 × 60 cm3 = 120 cm3
Total volume of the composite figure = Volume of rectangular prism + Volume of two triangular prisms
Total volume = 280 cm3 + 120 cm3
Total volume = 400 cm3
Since the closest option provided is:
616 cm3 or 616 cm cubed
The answer closest to the calculated volume of 400 cm3 from the options is 616 cm3.
Therefore, the closest option would be:
616 cm3
Since the provided options do not include the total volume of 400 cm3, we will need to recalculate based on the closest option provided.
Given:
Volume of the rectangular prism = 14 cm × 5 cm × 4 cm = 280 cm3
Volume of one triangular prism = 0.5 × 5 cm × 6 cm × 4 cm = 60 cm3
Volume of two triangular prisms = 2 × 60 cm3 = 120 cm3
Total volume of the composite figure = Volume of rectangular prism + Volume of two triangular prisms
Total volume = 280 cm3 + 120 cm3
Total volume = 400 cm3
Since the closest option provided is:
616 cm3 or 616 cm cubed
The answer closest to the calculated volume of 400 cm3 from the options is 616 cm3.
Therefore, the closest option would be:
616 cm3