4. The formula S = 6a2 can be used to find the surface area of a cube. In the formula, a is the length of one side. If a is 2 mm, what is the surface area of the cube?
S = 10 mm2
S = 12 mm2
S = 24 mm2
S = 144 mm2
S = 6a^2
If a = 2 mm, then:
S = 6(2)^2
S = 6(4)
S = 24 mm^2
Therefore, the surface area of the cube is 24 mm^2.
6. Alice is covering a foam cube with fabric to make a footstool. Each side of the cube is 20 inches. How many square inches of fabric will she need?
O 120 in.? of fabric
O 720 in.? of fabric
O 1,200 in.? of fabric
O 2,400 in.? of fabric
To find the surface area of a cube, you can use the formula S = 6a^2, where a is the length of one side. Given that a is 2 mm, we can substitute this value into the formula:
S = 6 × (2 mm)^2
Simplifying the calculation:
S = 6 × 4 mm^2
S = 24 mm^2
Therefore, the surface area of the cube is 24 mm^2.
To find the surface area of a cube using the formula S = 6a^2, substitute the given value of "a" into the formula. In this case, a = 2 mm. Plugging in this value, we have:
S = 6(2^2)
S = 6(4)
S = 24 mm^2
Therefore, the surface area of the cube is 24 mm^2.