For semi cylinder
Here area of base is subtracted as it is not included.
Total surface area of composite figure is :558.2mm².
General Formulas and Concepts:
Order of Operations: BPEMDASBracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right
CongruencyCongruent sides and lengths
Radius Formula:d is diameter
Surface Area of a Rectangular Prism Formula: SA = 2(wl + hl + hw)w is widthl is lengthh is height
Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²r is radiush is height
Step 1: Define
[Rectangular Prism] w = 9 mm
[Rectangular Prism] l = 11 mm
[Rectangular Prism] h = 6 mm
[Cylinder] d = 9 mm
[Cylinder] h = 11 mm
Step 2: Derive
Modify Surface Area equations and combine[Surface Area of a Cylinder Formula] Factor: [Surface Area of a Cylinder Formula] Divide by 2 [Semi-Cylinder]: [Surface Area of a Semi-Cylinder] Substitute in r [Radius Formula]: [Surface Area of a Semi-Cylinder] Evaluate exponents: [Surface Area of a Semi-Cylinder] Multiply: [Surface Area of a Rectangular Prism] Remove top: Combine Surface Area equations:
Step 3: Find Surface AreaSubstitute in variables [Combined Surface Area equation]: Evaluate exponents: Multiply: [Brackets] Add: Multiply: Add:
do you have a copy of the table?
exactly you go it