The surface area of a 3x3 Rubik's cube can be determined by calculating the area of each face and summing them up.
Each face of the cube has 9 smaller squares (3 rows x 3 columns).
The 3x3 Rubik's cube has 6 faces in total, so the surface area would be:
6 (number of faces) x 9 (number of squares on each face) = 54.
Therefore, the surface area of a 3x3 Rubik's cube is 54 square units.
Surface Area of 3x3 Rubik's cube
3 answers
A carry-on suitcase is 9.5 inches long, 16 inches wide, and 22.5 inches high. What is the surface area of the suitcase?
To calculate the surface area of the carry-on suitcase, we need to find the area of each of its six faces and sum them up.
For the front and back faces, the area is equal to the length multiplied by the height:
Front and back area = 9.5 inches x 22.5 inches = 213.75 square inches
For the top and bottom faces, the area is equal to the width multiplied by the length:
Top and bottom area = 16 inches x 9.5 inches = 152 square inches
For the two side faces, the area is equal to the width multiplied by the height:
Side area = 16 inches x 22.5 inches = 360 square inches
Now, we can calculate the total surface area by summing up all six faces:
Total surface area = (2 x Front and back area) + (2 x Top and bottom area) + (2 x Side area)
= (2 x 213.75) + (2 x 152) + (2 x 360)
= 427.5 + 304 + 720
= 1451.5 square inches
Therefore, the surface area of the carry-on suitcase is 1451.5 square inches.
For the front and back faces, the area is equal to the length multiplied by the height:
Front and back area = 9.5 inches x 22.5 inches = 213.75 square inches
For the top and bottom faces, the area is equal to the width multiplied by the length:
Top and bottom area = 16 inches x 9.5 inches = 152 square inches
For the two side faces, the area is equal to the width multiplied by the height:
Side area = 16 inches x 22.5 inches = 360 square inches
Now, we can calculate the total surface area by summing up all six faces:
Total surface area = (2 x Front and back area) + (2 x Top and bottom area) + (2 x Side area)
= (2 x 213.75) + (2 x 152) + (2 x 360)
= 427.5 + 304 + 720
= 1451.5 square inches
Therefore, the surface area of the carry-on suitcase is 1451.5 square inches.