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A=6s^(2) The formula gives the surface area A of a cube with side length s. What is the surface area of a cube with side length of (3)/(2) units?

A=6s2 A=6 s^{2} \newlineThe formula gives the surface area A A of a cube with side length s s . What is the surface area of a cube with side length of 32 \frac{3}{2} units?

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Q. A=6s2 A=6 s^{2} \newlineThe formula gives the surface area A A of a cube with side length s s . What is the surface area of a cube with side length of 32 \frac{3}{2} units?
  1. Identify formula for surface area: Identify the formula for the surface area of a cube.\newlineThe formula for the surface area of a cube is A=6s2A = 6s^2, where ss is the side length of the cube.
  2. Substitute given side length: Substitute the given side length into the formula.\newlineThe given side length is s=32 s = \frac{3}{2} units. Substitute this value into the formula to find the surface area.\newlineA=6×(32)2 A = 6 \times \left(\frac{3}{2}\right)^2
  3. Calculate square of side length: Calculate the square of the side length.\newline(32)2=(32)×(32)=94(\frac{3}{2})^2 = (\frac{3}{2}) \times (\frac{3}{2}) = \frac{9}{4}
  4. Multiply by 66 for surface area: Multiply the result by 66 to find the surface area.\newlineA=6×(94)A = 6 \times \left(\frac{9}{4}\right)\newlineA=544A = \frac{54}{4}
  5. Simplify fraction for final area: Simplify the fraction to get the final surface area. \newline544\frac{54}{4} can be simplified by dividing both the numerator and the denominator by 22.\newlineA=272A = \frac{27}{2}

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