Aladdin found a cave filled with boxes of gold, measuring 2 inches × 2 inches × 2 inches, and boxes of silver, measuring 1 inch
1 answer:
Answer:
Aladdin took 32 boxes of treasure.
Step-by-step explanation:
The dimensions of the box Aladdin brought are 6 inch × 6 inch × 7 inch.
Since, the volume of the box = Length × Width × Height.
So, the volume of the Aladdin's box = 6 × 6 × 7 = 252 inch³
Now, the dimensions of the gold box are 2 inch × 2 inch × 2 inch.
So, the volume of the gold box = 2 × 2 × 2 = 8 inch³
Thus, the number of gold boxes which can fit inside Aladdin's box = = 31 boxes
Also, as the dimensions of the silver box are 1 inch × 1 inch × 1 inch.
So, the volume of the silver box = 1 × 1 × 1 = 1 inch³
Then, the number of silver boxes which can fit inside Aladdin's box is 1.
Hence, Aladdin took 31 + 1 = 32 boxes of treasure.
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Answer:
At the start of 2014, the population was growing at 8.34 million people per year.
At the start of 2015, the population was growing at 8.39 million people per year.
Step-by-step explanation:
To find how fast was the population growing at the start of 2014 and at the start of 2015 we need to take the derivative of the function with respect to t.
The derivative shows by how much the function (the population, in this case) is changing when the variable you're deriving with respect to (time) increases one unit (one year).
We know that the population, P(t), of China, in billions, can be approximated by
To find the derivative you need to:
To find the population growing at the start of 2014 we say t = 0
To find the population growing at the start of 2015 we say t = 1
To convert billion to million you multiple by 1000