There are a total of 24 squares on the surface of the figure (4 squares per cube x 4 cubes).
Each square has an area of 36 in^2 (since the side length of each cube is 6 inches, 6 inches x 6 inches = 36 inches^2).
Therefore, the total surface area of the figure is 864 in^2 (24 squares x 36 in^2/square).
Four identical cubes are joined to make a new shape.
Answer the questions to find the new shape’s surface area.
A figure formed by 4 cubes with side lengths 6 inches. 3 cubes are connected to each other at one side. The fourth cube is on top of one of the cubes.
There are ____ squares on the surface of the figure.
Each square has an area of ____ in.^2
So, the surface area of the figure is ___ in^2
5 answers
24 and 864 are incorrect.
Apologies for the error. Let's correct it:
There are a total of 22 squares on the surface of the figure (3 cubes connected to each other have 9 squares on each visible face, and the fourth cube on top adds 1 square on the top face = 9 squares x 3 + 1 square = 28 squares).
Each square has an area of 36 in^2 (since the side length of each cube is 6 inches, 6 inches x 6 inches = 36 inches^2).
Therefore, the total surface area of the figure is 792 in^2 (22 squares x 36 in^2/square).
There are a total of 22 squares on the surface of the figure (3 cubes connected to each other have 9 squares on each visible face, and the fourth cube on top adds 1 square on the top face = 9 squares x 3 + 1 square = 28 squares).
Each square has an area of 36 in^2 (since the side length of each cube is 6 inches, 6 inches x 6 inches = 36 inches^2).
Therefore, the total surface area of the figure is 792 in^2 (22 squares x 36 in^2/square).
Both are incorrect again.
Apologies again for the mistakes. Let's correct it:
There are a total of 22 squares on the surface of the figure (3 cubes connected to each other have 6 squares on each visible face, and the fourth cube on top adds 1 square on the top face = 6 squares x 3 + 1 square = 19 squares).
Each square has an area of 36 in^2 (since the side length of each cube is 6 inches, 6 inches x 6 inches = 36 inches^2).
Therefore, the total surface area of the figure is 684 in^2 (19 squares x 36 in^2/square).
There are a total of 22 squares on the surface of the figure (3 cubes connected to each other have 6 squares on each visible face, and the fourth cube on top adds 1 square on the top face = 6 squares x 3 + 1 square = 19 squares).
Each square has an area of 36 in^2 (since the side length of each cube is 6 inches, 6 inches x 6 inches = 36 inches^2).
Therefore, the total surface area of the figure is 684 in^2 (19 squares x 36 in^2/square).
5 answers