Given that the surface area of a cube is given by the formula SA = 6s2, what is the value of SA if s = 1/2 cm?
A) 1 cm2
B) 3 cm2
C) 1/2 cm2
D) 1 1/2 cm2
btw i got b? is that right? if its not can u help??
B is wrong
6 * 1/2 * 1/2 = ?
To find the surface area (SA) of a cube, we can use the formula SA = 6s^2, where s is the length of the side of the cube.
Given that s = 1/2 cm, we can substitute this value into the formula:
SA = 6(1/2 cm)^2
To simplify, we can square 1/2:
SA = 6(1/4 cm^2)
Multiplying 6 by 1/4 gives us:
SA = 6/4 cm^2
Simplifying the fraction, we have:
SA = 3/2 cm^2
Therefore, the value of the surface area (SA) is 3/2 cm^2.
The answer is: D) 1 1/2 cm^2
To find the surface area of a cube, we use the formula SA = 6s^2, where s represents the length of the side of the cube.
In this case, we are given that s = 1/2 cm.
To find the value of SA, we substitute s = 1/2 cm into the formula: SA = 6(1/2)^2.
First, we simplify (1/2)^2 by squaring the denominator and numerator separately: (1^2)/(2^2) = 1/4.
Now we substitute this value back into the formula: SA = 6(1/4).
We multiply 6 by 1/4: SA = 6/4.
To simplify the fraction, we divide the numerator and denominator by their greatest common divisor (GCD), which is 2: SA = 3/2.
Therefore, the value of SA is 3/2 cm^2.
In the answer choices, there is an option D) "1 1/2 cm^2," which is equivalent to 1.5 cm^2. This matches the value we found.
So, the correct answer is D) 1 1/2 cm^2.