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?
The answer must be in yd.^3
What is the volume of the composite figure?
The answer must be in yd.^3
Answers
GPT 3.5
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.
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.