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2 years ago

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

Mathematics

2 answers:

Orlov [11]2 years ago

8 0

<h2>Questions :-</h2>

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 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ m²

<h2>Solution :-</h2>

<h3>Given Information :-</h3>

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

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 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ m²

<h3>Calculation :-</h3>

What is the shape of the bases? Rectangle
What is the name of this solid figure? Cuboid
What is the perimeter of the base? 2 ( length + width ) = 6 m
What is the height of the prism? 4 m
Lateral area = Perimeter of base × Height of the prism
What is the area of the base? length × width = 2 m²
For 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

<h2>Final Answers :-</h2>

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

UkoKoshka [18]2 years ago

4 0

Answer:

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

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

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