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noname [10]
3 years ago
13

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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A school principal plans to form teams from 126 third-graders, 180 fourth-graders, and 198 fifth-graders so that there is the sa
marissa [1.9K]

Answer:

There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders

Step-by-step explanation:

126 third-graders

180 fourth-graders

198 fifth-graders

Find the highest common factor of 126, 180, 198

Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126.

Factors of 180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Factors of 198: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198.

The highest common factor of 126, 180, 198 is 9

The largest possible number of teams that can be formed is 9

Each team has

third-graders = 126 / 9

= 14

Fourth-graders = 180 / 9

= 20

Fifth-graders = 198 divided by 9

= 22

There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders

3 0
3 years ago
1. At Parker's Pizza Parlor, the total cost of an order of 5 slices of pizza is $12.37. This price includes $1. 12 in
Karo-lina-s [1.5K]
To find the cost of one slice 12.37/5= 2.47 per slice.

so y= 2.47p+1.12

3 0
3 years ago
275 liters to millimeters​
Bogdan [553]

Answer:

2,75,000 mL

Step-by-step explanation:

1 Litre = 1000 ml

So,

275 Litres = 275 x 1000 mL

                 = 2,75,000 mL

6 0
3 years ago
A line contains (4,2) and (0,-1). What is the equation line?
densk [106]
The answer is B. Y= 3/4x-1
7 0
3 years ago
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The circumference of a roll of party streamers is 9 inches. The circumference decreases by 2 inches after you use the streamers
leonid [27]
For that case the new circumference is:
 C = 9 - 2
 C = 7 inches
 By definition, the circumference is:
 C = 2 * pi * r
 Where,
 r: radio
 Substituting values:
 7 = 2 * pi * r
 Clearing the radio:
 r = 7 / (2 * pi)
 Then, the diameter is:
 d = 2 * r
 Substituting:
 d = 2 * (7 / (2 * pi))
 d = 2.228169203
 Round to the hundredth:
 d = 2.23 inches
 Answer:
 
The diameter of the roll after the decrease is:
 
d = 2.23 inches
7 0
3 years ago
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