Use the image to answer the question.
An illustration showing two cubes joined on both sides of a cuboid. The sides of the cube are 5 centimeters. The length of the cuboid is 10 centimeters and height is 12 centimeters.
What is the volume of the composite figure?
The volume of the composite figure can be calculated by finding the volume of each individual shape and then adding them together.
The volume of each cube is calculated as:
V_cube = side^3
V_cube = 5^3
V_cube = 125 cubic centimeters
The volume of the cuboid is calculated as:
V_cuboid = length x width x height
V_cuboid = 10 x 5 x 12
V_cuboid = 600 cubic centimeters
Since there are two cubes and one cuboid in the composite figure, the total volume would be:
Total volume = 2V_cube + V_cuboid
Total volume = 2(125) + 600
Total volume = 250 + 600
Total volume = 850 cubic centimeters
Therefore, the volume of the composite figure is 850 cubic centimeters.