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How many liters of air are in a room that measures 10.0 ft × 11.0 ft and has an 8.00 ft ceiling? 1 in. = 2.54 cm (exactly); 1 L = 103 cm3

Respuesta :

Answer:

2.42x10^5 L

Explanation:

10.0ft x 11.0 ft x 8.00 ft = 880. ft^3 (1 cubic foot = 28316.8 cubic cm)

880. ft^3 * (28316.8 cubic cm/ 1 cubic foot) = 24,918,784 cm^3

(1L=103 cm^3)

24,918,784 cm^3 (1L/103 cm^3) = 2.42x10^5 L

[tex]2.42*10^5[/tex]  liters of air are in a room.

Unit conversions:  

It helps to show another person the exact amount you have. Assist in solving a mathematical problem, especially in chemistry, where you can follow the units to get to the answer. Show which measurement system the person is using.

1 in. = 2.54 cm

1 L = 10³ cm³

Given: 10.0 ft × 11.0 ft 8.00 ft ceiling

Now, converting into given quantities:

[tex]10.0ft * 11.0 ft * 8.00 ft = 880. ft^3 ( = 28316.8 \text{ cubic cm})\\\\880. ft^3 * (\frac{28316.8 \text{ cubic cm}} {\text{1 cubic foot}} }) = 24,918,784 cm^3\\\\24,918,784 cm^3 (\frac{1L}{10^3 cm^3})= 2.42*10^5 L[/tex]

→  Thus,[tex]2.42*10^5[/tex] liters of air are in a room that measures 10.0 ft × 11.0 ft and has an 8.00 ft ceiling.

Find more information about Unit conversion here: brainly.com/question/13016491

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