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Angelina_Jolie [31]
3 years ago
14

What is the total surface area of a right rectangular prism with a base of 2 cm by 3 cm and a height of 6 cm? A) 13 cm2. B) 72 c

m2. C) 113 cm2. D) 226 cm2.
Mathematics
2 answers:
Stolb23 [73]3 years ago
3 0
 (L · W · 2) + (perimeter of the base · height). For this prism, that's (2 cm · 3 cm · 2) + (2 cm + 2 cm + 3 cm + 3 cm) · 6 cm. This is (12 cm2) + (10 cm · 6 cm) = <span>72 cm2.</span>
Degger [83]3 years ago
3 0

Answer: =72\ cm^2,

Step-by-step explanation:

The total surface area of a right rectangular prism is given by :-

\text{Total surface area}=2(lw+wh+hl), where h is height, w is width and l is length of the prism.

Given: Height = 6 cm

Dimensions of base =  2 cm by 3 cm

Now, the total surface area of a given right rectangular prism is given by :-

\text{Total surface area}=2(2\cdot+3\cdot6+2\cdot6)=2(6+18+12)=2(36)=72\ cm^2,

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Answer:

The ratio of quarters to nickels is:

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Step-by-step explanation:

To solve the exercise, you must first consider how big is the ratio of each one to the other, when it is mentioned that the ratio of quarters to dimes is 5:2 it means that for every 5 quarters, Jon has 2 dimes, for the more quarters there are with respect to the dimes, we simply divide the larger value by the smaller:

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Thus, we know that there are 2.5 more quarters than dimes. Now the following proportion: the ratio of dimes to nickels is 3:4, which means that for every 3 dimes there are 4 nickels, as the nickels are greater in quantity, we are going to see how many times they are greater in proportion than the dimes making again a division of the major over the minor:

  • 4/3 = 1.33333333333 (<em>we are going to use the fractional number so as not to lose decimals</em>).

As we can see, the nickels are a little more than 1 with respect to the dimes, now we are going to create two formulas with those values:

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As you see. We only express the calculated proportions, at first glance you can identify that the number of quarters is greater, but to know how much greater with respect to nickels we are going to divide the two values ​​that accompany "d" in the formulas:

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If we express it in ratio as it is in the exercise, we obtain:

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So, <u>15:8 is the ratio of quarters to nickels</u>, <em>which means that for every 15 quarters, jon has 8 nickels.</em>

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