If a = 4 units, be = 7 units, d = 11 units and e = 5 units, what is the volume of the composite figure?
A. 286 cubic units
B. 770 cubic units
C. 1001 cubic units
D. 924 cubic units
To find the volume of the composite figure, we need to add up the volumes of each individual component.
The volume of a rectangular prism is given by V = lwh, where l is the length, w is the width, and h is the height.
Component ABED is a rectangular prism with dimensions 4 units, 7 units, and 11 units.
V_ABED = 4 * 7 * 11 = 308 cubic units.
Component BDEC is a rectangular prism with dimensions 7 units, 5 units, and 11 units.
V_BDEC = 7 * 5 * 11 = 385 cubic units.
The total volume of the composite figure is V_ABED + V_BDEC = 308 + 385 = 693 cubic units.
Therefore, the volume of the composite figure is 693 cubic units.
None of the provided answer choices are correct.