What is the volume of the composite figure?
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To find the volume of the composite figure, we first need to identify the different shapes that make up the figure.
The figure consists of two rectangular prisms: one with dimensions 3 feet by 3 feet by 3 feet, and the other with dimensions 3 feet by 1 feet by 1 feet.
To find the volume of each prism, we use the formula V = l x w x h, where l is the length, w is the width, and h is the height.
Volume of the first rectangular prism:
V1 = 3 feet x 3 feet x 3 feet
V1 = 27 cubic feet
Volume of the second rectangular prism:
V2 = 3 feet x 1 feet x 1 feet
V2 = 3 cubic feet
To find the total volume of the composite figure, we add the volumes of the two prisms:
Total Volume = V1 + V2
Total Volume = 27 cubic feet + 3 cubic feet
Total Volume = 30 cubic feet
Therefore, the volume of the composite figure is 30 cubic feet.