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Sunny_sXe [5.5K]
2 years ago
8

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

What will happen
Mathematics
1 answer:
erica [24]2 years ago
3 0

Answer:

Tray will overflow with 10.53\ \text{inch}^3 of paint.

Step-by-step explanation:

Dimensions the tray is 10 inch by 14 inch by 4 cm

1\ \text{cm}=\dfrac{1}{2.54}\ \text{inch}

4\ \text{cm}=\dfrac{4}{2.54}\ \text{inch}

Volume the tray can hold is

10\times 14\times \dfrac{4}{2.54}\ \text{in}^3

1\ \text{inch}^3=\dfrac{1}{231}\ \text{gallon}

The volume of paint Billy has is 1\ \text{gallon}

Difference in the volume of paint and volume of tray in cubic inches is

\left(1-\dfrac{10\times14\times\dfrac{4}{2.54}}{231}\right)231=10.53\ \text{inch}^3

The tray will overflow with 10.53\ \text{inch}^3 of paint.

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