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?
The answer must be in yd.^3
To find the volume of the composite figure, we need to find the volume of the two cubes and the cuboid separately and then add them together.
Volume of a cube = side^3
Volume of one cube = 2^3 = 8 yd^3
Volume of two cubes = 8 yd^3 + 8 yd^3 = 16 yd^3
Volume of a cuboid = length x width x height
Volume of the cuboid = 4.5 yards x 2 yards x 2 yards = 18 yd^3
Total volume of the composite figure = Volume of two cubes + Volume of the cuboid
Total volume = 16 yd^3 + 18 yd^3 = 34 yd^3
Therefore, the volume of the composite figure is 34 yd^3.