What is the volume of a composite figure with a base of a lymphony inches a height of 4 in a side of 3 in by a side of 3 in by side of 3 in
To calculate the volume of this composite figure, we need to determine the volume of each individual component and then add them together.
The figure consists of a base in the shape of a lymphony with dimensions of 3 inches by 3 inches, and a height of 4 inches. The volume of this component can be calculated using the formula for the volume of a triangular prism:
Volume = base area x height = (1/2 * base length * base width) x height
Volume = (1/2 * 3 * 3) x 4 = 18 cubic inches
Additionally, the figure includes a cube with dimensions of 3 inches by 3 inches by 3 inches. The volume of a cube can be calculated using the formula:
Volume = side length^3 = 3^3 = 27 cubic inches
Finally, we add the volumes of the two components together to find the total volume of the composite figure:
Total volume = 18 cubic inches (lymphonic prism) + 27 cubic inches (cube) = 45 cubic inches
Therefore, the volume of the composite figure is 45 cubic inches.