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Vladimir79 [104]
3 years ago
7

A large diamond with a mass of 4289.6 grams was recently discovered in a mine. If the density of the diamond is 3.51 grams over

centimeters cubed, what is the volume? Round your answer to the nearest hundredth.
142.78 cm3

384.96 cm3

1221.9 cm3

33759.15 cm3
Mathematics
2 answers:
sweet [91]3 years ago
8 0
There are several information's already given in the question. Based on those information's the answer can be deduced.
Mass of the diamond = 4289.6 grams
Density of the diamond = 3.51 gm/cm^3
Then
Volume of the diamond = 4289.6/3.51
                                      = 1221.9 cm^3
From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the third option or the penultimate option.
Pepsi [2]3 years ago
7 0

Answer: 1222.11\ cm^3

Step-by-step explanation:

Given: The mass of a large diamond = 4289.6 grams

The density of the diamond = 3.51 \text{ grams/ }cm^3

We know that the formula to calculate density is given by :-

\text{Density}=\dfrac{\text{Mass}}{\text{ Volume}}\\\\\Rightarrow\text{Volume}=\dfrac{\text{Mass}}{\text{Density}}

\Rightarrow\text{Volume}=\dfrac{4289.6}{3.51}=1222.10826211\approx1222.11\ cm^3

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siniylev [52]

Answer:

The ratio of the area of the school banner to the area of the sign is <u>1944 cubic inches : 192.61 cubic inches.</u>

Step-by-step explanation:

Given:

A rectangular school banner has a length of 54 inches and a width of 36 inches. A sign is made that is similar to the school banner and has a length of 17 inches.

Now, to find the ratio of the area of the school banner to the area of the sign.

Dimensions of school banner :

Length = 54 inches.

Width = 36 inches.

Dimension of school sign:

Length = 17 inches.

So, to we find the width of sign by using cross multiplication method:

Let the width be x.

So, 54 is equivalent to 36.

Thus, 17 is equivalent to x.

\frac{54}{36} =\frac{17}{x}

By cross multiplying we get:

54x=612

Dividing both sides by 54 we get:

x=11.33\ inches.

Thus, the width of sign = 11.33 inches.

Now, to get the ratio of the area of the school banner to the area of the sign:

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= 1944:192.61

Therefore, the ratio of the area of the school banner to the area of the sign is 1944 cubic inches : 192.61 cubic inches.

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