To find the volume of the composite figure, we first need to find the volume of the cubes and the cuboid separately, and then add them together.
Volume of cube = side length^3
Volume of cube = 2 yards x 2 yards x 2 yards
Volume of cube = 8 cubic yards
Volume of the two cubes = 2 x 8 = 16 cubic yards
Volume of cuboid = length x width x height
Volume of cuboid = 4.5 yards x 2 yards x 2 yards
Volume of cuboid = 18 cubic yards
Total volume of the composite figure = volume of cubes + volume of cuboid
Total volume = 16 + 18
Total volume = 34 cubic yards
Therefore, the volume of the composite figure is 34 cubic yards.
Use the image to answer the question.
An illustration shows two cubes joined on both sides of a cuboid. The sides of the cube are 2 yards. The length of the cuboid is 4.5 yards.
What is the volume of the composite figure?
1 answer