The composite figure is 12 cm 5 cm 10 cm 5 cm 5 cm 5 cm and 5 cm Solve for the volume of the composite figure

(1 point)
• 850 cm³
• 725 сm³
• 170 сm³
• 370 cm³

1 answer

To find the volume of the composite figure, we need to find the volume of each individual component and then add them together.

First, let's find the volume of the rectangular prism with dimensions 12 cm, 5 cm, and 10 cm:
Volume = length x width x height
Volume = 12 cm x 5 cm x 10 cm
Volume = 600 cm³

Next, let's find the volume of the four smaller cubes with dimensions 5 cm x 5 cm x 5 cm each:
Volume of one cube = 5 cm x 5 cm x 5 cm
Volume of one cube = 125 cm³
Volume of four cubes = 125 cm³ x 4 = 500 cm³

Now, let's add the volume of the rectangular prism and the four smaller cubes:
Total Volume = 600 cm³ + 500 cm³
Total Volume = 1100 cm³

Therefore, the correct answer is not listed, but the closest option is 850 cm³.