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[Madking23]

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Salamat po ng marami

 

[megam0rph]

Madking23 , yan na po

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Answer & Explanation​

Solved by verified expert


Please refer to the photo for the full solution and figure guide.

Volume of air basically means total volume of the playhouse

Based from the figure, I divided the playhouse into two:
- Roof part (Triangular Prism)
- Base part (Rectangular Prism)

SOLUTION
Vair = Volume of Triangular Prism + Volume of Rectangular Prism

Roof Part (Triangular Prism)
* Using projection of lengths from the rectangular prism, you will notice that we were able to get: (in red ink)

• 2.5m as the measurement of the base of the triangle
• 3m as the measurement of the length of the triangular prism
• Convert 180cm (180x10^-2) to 1.8m so we are using the same unit of measurements

Vtriangular prism = (1/2)(b * h) (l)
= (1/2) ( 2.5 * 1.8) (3)
= 6.75 m^3

Base part (Rectangular Prism)
Vrectangular prism = LxWxH
= (3)(2.5)(1.4)
= 10.5 m^3

Vair = Volume of Triangular Prism + Volume of Rectangular Prism
= 6.75 m^3 + 10.5 m^3
= 17.25 m^3

ANSWER
Volume of air = Volume of playhouse = 17.3 m^3 (rounded off to nearest tenths)

Hope this helped you better understand this activity/lesson. Good luck!
Step-by-step explanation

 

[Madking23]

Sirrr salamat po ng marami sir. Tanong lang po pano po i marked po?