There is a picture with stacked cubes that are each 2inches.
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++++ +=the pic i have of cubes=(+=2in cube)
Each side of a cube in the diagram measures 2 inches. What is the total surface area and volume of the solid?
I did A=s squared A=2 squared
A= 4inch squared
SA= 4(36)= 144inch squared
V=lw10
v=2(2)10 = 40 inch cubed
is this correct?
front and back of the tower=20
side=4 bottom=4 side#2=4 top=4
all together =36, this is how I came up with my numbers. Hopefully, I did it correctly. Thanks for checking this
To find the total surface area of the solid, you need to calculate the area of each of the six faces and add them together.
Each face of the cube is a square with sides measuring 2 inches. So the area of one face is 2 inches x 2 inches = 4 square inches.
Since there are six faces in total, the total surface area is 6 x 4 square inches = 24 square inches.
Therefore, the total surface area of the solid is 24 square inches.
To find the volume of the solid, you need to calculate the volume of a single cube and multiply it by the number of cubes.
The volume of a cube is given by V = l x w x h, where l, w, and h are the lengths of its sides.
In this case, the length, width, and height of each cube are 2 inches.
So the volume of a single cube is 2 inches x 2 inches x 2 inches = 8 cubic inches.
Since there are 10 cubes stacked on top of each other, the total volume of the solid is 8 cubic inches x 10 cubes = 80 cubic inches.
Therefore, the total volume of the solid is 80 cubic inches.
In summary, the correct answers are:
- Total surface area: 24 square inches
- Total volume: 80 cubic inches.