Question

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

Answer 1

Questions :-

1. What is the shape of the bases? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
2. What is the name of this solid figure? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
3. What is the perimeter of the base? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
4. What is the height of the prism? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
5. Lateral area = ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ base × ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ of the prism
6. What is the area of the base?
7. For any prism, Surface Area = ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ area + ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
8. For this prism, the Surface Area is ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ m²

____________________

Solution :-

Given Information :-

• Height (h) ➢ 4 m
• Width (w) ➢ 2 m
• Length (l) ➢ 1 m

To Find :-

1. What is the shape of the bases? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
2. What is the name of this solid figure? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
3. What is the perimeter of the base? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
4. What is the height of the prism? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
5. Lateral area = ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ base × ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ of the prism
6. What is the area of the base?
7. For any prism, Surface Area = ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ area + ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
8. For this prism, the Surface Area is ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ m²

Calculation :-

1. What is the shape of the bases? Rectangle
2. What is the name of this solid figure? Cuboid
3. What is the perimeter of the base? 2 ( length + width ) = 6 m
4. What is the height of the prism? 4 m
5. Lateral area = Perimeter of base × Height of the prism
6. What is the area of the base? length × width = 2 m²
7. For any prism, Surface Area = Lateral Area + 2 ( Area of Base )
8. 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

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Final Answers :-

1. Rectangle
2. Cuboid
3. 2 ( length + width ) = 6 m
4. 4 m
5. Lateral area = Perimeter of base × Height of the prism
6. length × width = 2 m²
7. Lateral Area + 2 ( Area of Base )
8. For this prism, the Surface Area is 28 m²

____________________

Answer 2

1. shape of bases is rectangle.
2. name of solid figure is cuboid.
3. perimeter of base =2(1+2)=6m
4. the height of prism =4m
5. lateral surface area =perimeter of base × height of the prism.
6. the area of base=l*b=2*1=2 m²
7. For any prism surface area=lateral area + 2 area of base
8. the surface area=6*4+2*2=28m²