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slega [8]
2 years ago
12

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.

Mathematics
2 answers:
LenaWriter [7]2 years ago
6 0

Answer:

1080 cm^2

Step-by-step explanation:

<u>∴ Given:</u>

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

<u>∴To Find:</u>

How much paint will Graham need to paint the toy?

<u>∴Solve:</u>

Base on the given:

S=5a^2+4ah\cdot\frac{1}{2}

= 5\cdot12^2+4\cdot12\cdot15\cdot\frac{1}{2}

=1080cm^2

Hence 1080cm^2 of paint is needed.

<u><em>~lenvy~</em></u>

34kurt2 years ago
4 0

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

<h3>Total surface area:-</h3>

  • 720+360
  • 1080cm^2
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