A). 616 cm3
616 cm cubed
To find the volume of the composite figure, we need to find the volume of the rectangular prism and the two triangular prisms separately and then add them together.
Volume of the rectangular prism = length x width x height
Volume of rectangular prism = 14 cm x 5 cm x 4 cm
Volume of rectangular prism = 280 cm3
Volume of one triangular prism = 1/2 x base x height x length
Volume of one triangular prism = 1/2 x 6 cm x 4 cm x 14 cm
Volume of one triangular prism = 168 cm3
Since there are two identical triangular prisms, the total volume of the triangular prisms is 2 x 168 cm3 = 336 cm3
Therefore, the total volume of the composite figure is 280 cm3 + 336 cm3 = 616 cm3
So the correct answer is A). 616 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.
(1 point)
Responses
A). 616 cm3
616 cm cubed
B). 448 cm3
448 cm cubed
C). 154 cm3
154 cm cubed
D). 952 cm3
1 answer
1 answer