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3 years ago

How do the surface areas of similar prisms compare when dimensions are doubled?

Mathematics

1 answer:

zhuklara [117]3 years ago

6 0

Answer:

The surface area of the larger prism is 4 times the surface area of the smaller one.

(which agrees with answer B in your list)

Step-by-step explanation:

Notice that the lateral surface area of prisms always consists of parallelograms, whose areas are given by the product base times height. = B x H

Therefore if the dimensions of the prism double, then the base and height of the parallelograms will double as well, making such individual ares of the lateral faces go from:

B x H to --> 2 B x 2 H = 4 (B x H)

that is 4 times the original lateral face's area.

with the faces for the top and bottom bases of the prism, something similar happens, so we conclude that the surface area of the larger prism is 4 times the surface area of the smaller one.

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Drag numbers to the table so it shows a proportional relationship between x and y.

dezoksy [38]

Answer:

7.5 30

45 180

Step-by-step explanation:

The given line has x = 1.25 and y = 5.

y/x = 5/1.25 = 4

x is multiplied by 4 to get y since 1.25 * 4 = 5.

That means the equation is

y = 4x

For a proportional function, every value of x must be multiplied by 4 to get y.

x = 7.5

y = 4x = 4(7.5) = 30

7.5 30

We need to find the values for the last line.

11 * 4 = 44

There is no 44

13.75 * 4 = 55

There is no 55.

17.5 * 4 = 70

There is no 70

30 * 4 = 120

There is no 120.

45 * 4 = 180

There is a 180.

45 180

Answer:

7.5 30

45 180

8 0

2 years ago

Help please, I’m timed.

Nadya [2.5K]

Answer:

Final answer is A. $P(A^c)=\frac{4}{7}$

Step-by-step explanation:

From table we see that there are 7 places in the list.

Event A = The place is city.

Then $A^c$ indicates the place is NOT city.

From table we see that there are 4 names "India, Peru, Canada, Mexico" which are not city.

Hence probability that the chosen place is not city is given by:

$P(A^c)=\frac{4}{7}$

Hence final answer is A. $P(A^c)=\frac{4}{7}$

4 0

3 years ago

Describe 58 as a sum of tens and ones.

d1i1m1o1n [39]

50+8 50 represents tens place value, while 8 represents the ones place value.

6 0

3 years ago

Four different towns in the same state grew in size due to a revitalization effort. The population of town A grew from 22,000 to

Savatey [412]

Answer:

Town C.

Step-by-step explanation:

Average change of population with time for town A = $\frac{24,500 - 22,000}{4} = \frac{2,500}{4} = 625$

Average change of population with time for town B = $\frac{34,770 - 31,200}{6} = \frac{3,570}{6} = 595$

Average change of population with time for town C = $\frac{22,000 - 18,000}{5} = \frac{4,000}{5} = 800$

Average change of population with time for town D = $\frac{34,100 - 32,000}{3} = \frac{2,100}{3} = 700$

Town C had the greatest average change in population over time (800/yr).

8 0

3 years ago

Complete the inequality statement. <br> 13.01 ___ 13.1 <br> < <br> > <br> =

nata0808 [166]

13.01 < 13.1 because there is a 0 in the tenths place in 13.01 and there is a 1 in the tenths place in 13.1

6 0

3 years ago

Read 2 more answers