To find the volume of the composite figure, we first need to identify the individual geometric shapes that make up the figure.
The figure consists of a rectangular prism with dimensions 6 cm x 14 cm x 6 cm, and a triangular prism with a base of 4 cm and a height of 5 cm.
To find the volume of the rectangular 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.
V1 = 6 cm x 14 cm x 6 cm
V1 = 504 cm^3
To find the volume of the triangular prism, we use the formula V = 1/2 x b x h x l, where b is the base, h is the height, and l is the length.
V2 = 1/2 x 4 cm x 5 cm x 6 cm
V2 = 60 cm^3
Now, we add the volumes of the two shapes together to find the total volume of the composite figure:
Total Volume = V1 + V2
Total Volume = 504 cm^3 + 60 cm^3
Total Volume = 564 cm^3
Therefore, the volume of the composite figure is 564 cubic centimeters.
solve volume of the composite figure 6 cm 14 cm 6 cm 4 cm 5 cm
1 answer