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Graham carves a block of wood shaped like a cube with a square pyramid on top. How much paint will Graham need to paint the toy? Enter your answer in the box.

Graham carves a block of wood shaped like a cube with a square pyramid on top How much paint will Graham need to paint the toy Enter your answer in the box class=

Respuesta :

Divide the box into two parts for easy way answer

For cube:-

  • Side=a=12cm

TSA

  • 6a²
  • 6(12)²
  • 6(144)
  • 864cm^2

Cancel one side area

  • TSA=864-144=720cm^2

For triangular pyramid:-

Area of one base

  • 0.5(Base)(Height)
  • 0.5(12)(15)
  • 6(15)
  • 90cm^2

Area of four sides=90(4)=360cm^2

Total surface area:-

  • 720+360
  • 1080cm^2
Lenvy

Answer:

1080 cm^2

Step-by-step explanation:

∴ Given:

Graham carves a block of wood shaped like a cube with a square pyramid on top.

∴To Find:

How much paint will Graham need to paint the toy?

∴Solve:

Base on the given:

[tex]S=5a^2+4ah\cdot\frac{1}{2}[/tex]

= [tex]5\cdot12^2+4\cdot12\cdot15\cdot\frac{1}{2}[/tex]

[tex]=1080cm^2[/tex]

Hence [tex]1080cm^2[/tex] of paint is needed.

~lenvy~

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