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Alex777 [14]
2 years ago
6

Billy has 1 gallon of paint. He is going to pour it into a paint tray that measures 10 inches wide, 14 inches long, and 4 cm dee

p.(1 gallon = 231 in3, 1 inch = 2.54 cm)Which of the following scenarios will happen?a. The paint will not fill the tray by 441 cm3.b. The paint will not fill the tray by 10.53 in3.c. The paint will fill the tray exactly.d. The paint will overfill the tray by 10.53 in3.
Mathematics
1 answer:
V125BC [204]2 years ago
3 0

Answer:

The paint will not fill the tray by 10.53 cubic inches.

Step-by-step explanation:

We will find the volume of the paint tray and compare it with the volume of the gallon.

Given dimensions are:

Length = 14 inches

Width = 10 inches

Depth = 4 cm or \frac{4}{2.54}=1.575 inches

The volume is given by = length x width x depth

Volume = 14\times10\times1.575=220.50 cubic inches

Volume of 1 gallon is given as = 231 cubic inches

We can see that volume of 1 gallon is more than volume of tray.

Difference = 231-220.50=10.5 cubic inches.

So, the paint will not fill the tray by 10.53 cubic inches.

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\large\bf{\underline{Given \: equations:}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\large \: x + 71 = 180

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\large \: x + 149 = 180

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\large \: x + 40 = 180

__________________________________________

\large\bf{\underline{On \: solving :}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹x + 71 = 180

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹x = 180 - 71

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹x = 109

__________________________________________

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹x + 149 = 180

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹x = 180 - 149

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹x = 31

__________________________________________

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹x + 40 = 180

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹x = 180 - 40

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