Help me please. This is my last question. :( •Msm •Mhanifa ​•Nayefex

shape of bases is rectangle.name of solid figure is cuboid.perimeter of base =2(1+2)=6mthe height of prism =4mlateral surface area =perimeter of base × height of the prism.the area of base=l*b=2*1=2 m²For any prism surface area=lateral area + 2 area of basethe surface area=6*4+2*2=28m²

Questions :-What is the shape of the bases? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀What is the name of this solid figure? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀What is the perimeter of the base? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀What is the height of the prism? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀Lateral area = ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ base × ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ of the prism What is the area of the base?For any prism, Surface Area = ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ area + ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀For this prism, the Surface Area is ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ m²Solution :-Given Information :-Height (h) ➢ 4 mWidth (w) ➢ 2 mLength (l) ➢ 1 mTo Find :-What is the shape of the bases? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀What is the name of this solid figure? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀What is the perimeter of the base? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀What is the height of the prism? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀Lateral area = ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ base × ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ of the prism What is the area of the base?For any prism, Surface Area = ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ area + ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀For this prism, the Surface Area is ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ m²Calculation :-What is the shape of the bases? RectangleWhat is the name of this solid figure? CuboidWhat is the perimeter of the base? 2 ( length + width ) = 6 mWhat is the height of the prism? 4 mLateral area = Perimeter of base × Height of the prism What is the area of the base? length × width = 2 m²For any prism, Surface Area = Lateral Area + 2 ( Area of Base )For this prism, the Surface Area is 28 m²

Working for calculating surface area of rectangular prism ↓

Formula for surface area of rectangular prism :-

➢ 2(lw) + 2(wh) + 2 (lh)

Substituting the values, We get,

⇒ 2 ( 1 × 2 ) + 2 ( 2 × 4 ) + 2 ( 4 × 1 )

Simplifying, We get,

⇒ 4 + 16 + 8

⇒ 28 m²

∴ Surface Area of rectangular prism is 28 m²

Final Answers :-RectangleCuboid2 ( length + width ) = 6 m4 mLateral area = Perimeter of base × Height of the prism length × width = 2 m²Lateral Area + 2 ( Area of Base )For this prism, the Surface Area is 28 m²