Solve for the volume of the composite figure.
14in 6in 6in 5in 4in
(1 point)
Responses
952 cm3
952 cm cubed
154 cm3
154 cm cubed
448 cm3
448 cm cubed
616 cm3
616 cm cubed
To find the volume of the composite figure, first break it down into simpler shapes.
First, we have a rectangular prism with dimensions 14in x 6in x 6in. The volume of a rectangular prism is V = lwh, so the volume of this rectangular prism is 14in x 6in x 6in = 504 in^3.
Next, we have a rectangular prism with dimensions 5in x 6in x 6in. The volume of this rectangular prism is 5in x 6in x 6in = 180 in^3.
Lastly, we have a cube with side length 4in. The volume of a cube is V = s^3, so the volume of this cube is 4in x 4in x 4in = 64 in^3.
Adding up the volumes of all three shapes, we get 504 in^3 + 180 in^3 + 64 in^3 = 748 in^3.
The correct answer is not listed, but the closest option is 616 cm^3, and 1 inch is approximately equal to 2.54 cm.
748 in^3 * (2.54 cm/in)^3 = 12236.288 cm^3 ≈ 12236 cm^3
Therefore, the closest provided option is 616 cm^3.