SafaLailaHuda
Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

find the total surface area of this triangular prism 21cm 29cm 20cm 22cm

Find The Total Surface Area Of This Triangular Prism 21cm 29cm 20cm 22cm class=

Sagot :

lcyHot

Total surface area -

  • 2(1/2 × 20 × 21) + (29 × 22) + (21 × 22) + (20 × 22)

  • 420 + 638 + 462 + 440

  • 1960 cm²
gmany

Answer:

[tex]\huge\boxed{SA=1960cm^2}[/tex]

Step-by-step explanation:

We have:

  • 2 rectangular triangles with legs 20cm and 21cm
  • 3 different rectangles 20cm × 22cm, 21cm × 22cm and 29cm × 22cm

The formula of an area of

  • a rectangular triangle:

[tex]A_\triangle=\dfrac{a\cdot b}{2}[/tex]

a, b - legs

  • a rectangle a × b:

[tex]A_{\square}=a\cdot b[/tex]

Calculate:

Rectangular triangle

[tex]A_\triangle=\dfrac{20\cdot21}{2}=210(cm^2)[/tex]

Rectangles:

[tex]A_{\square1}=20\cdot22=440(cm^2)\\\\A_{\square2}=21\cdot22=462(cm^2)\\\\A_{\square3}=29\cdot22=638(cm^2)[/tex]

Total surface:

[tex]SA=2A_\triangle+A_{\square1}+A_{\square2}+A_{\square3}\\\\SA=2\cdot210+440+462+638=1960(cm^2)[/tex]

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.