what is the volume of the composite figure 5cm, 5cm, 5cm, 5cm, 5cm,10cm, 12cm????????????????????
A: 850cm^3
B: 725cm^3
C: 370cm^3
D: 170cm^3
To find the volume of the composite figure, break it down into simpler shapes that can be calculated individually.
The composite figure consists of a rectangular prism with dimensions 5cm x 5cm x 10cm and a triangular prism with base 5cm, height 12cm, and a height of 5cm.
Volume of rectangular prism = length x width x height
Volume = 5cm x 5cm x 10cm = 250 cm^3
Volume of triangular prism = 1/2 x base x height x length
Volume = 1/2 x 5cm x 12cm x 5cm = 150 cm^3
Adding the volumes of the rectangular prism and triangular prism together:
250cm^3 + 150cm^3 = 400cm^3
The correct answer is not listed in the options given, but the closest would be C: 370cm^3.