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2 years ago

If each dimension of the rectangular prism is doubled, how will its total surface area change?

Mathematics

2 answers:

lilavasa [31]2 years ago

7 0

Answer:

Option C is correct.

The surface area increases by a factor of four.

Step-by-step explanation:

A rectangular prism is also known as a cuboid.

Take a rectangular prism for example with length, width and height given as x, y and z respectively.

The surface area of the rectangular prism is given as

S = 2xy + 2yz + 2xz = 2(xy + yz + xz)

If all the dimensions are now doubled, the length, width and height all become 2x, 2y and 2z respectively.

The new surface are is then

S₁ = 2(2x)(2y) + 2(2y)(2z) + 2(2x)(2z)

S₁ = 8xy + 8yz + 8xz

S₁ = 4 [2xy + 2yz + 2xz]

Showing that the new surface area = 4 × the old surface area.

S = 2xy + 2yz + 2xz

S₁ = 4 × S = 4S.

Hope this Helps!!!

BARSIC [14]2 years ago

4 0

2(wl+hl+hw) is the surface area of the rectangular prism
If you were to double the dimensions
2(2w2l+2h2l+2h2w)
This simlifies to
8(wl+hl+hw).
The surface area increases by a factor of four.

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alexira [117]

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Step-by-step explanation:

radius (r) = 8cm

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= 2 × 3.14 × 8

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2 years ago

Point G is on line segment{FH}

Angelina_Jolie [31]

Answer:

FG = 7

Step-by-step explanation:

5x+2+3x-1=9

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2 years ago

The box plots show the weights, in pounds, of the dogs in two different animal shelters.

zimovet [89]

*see attachment below for the box plots that is being referred to

Answer:

*The median weight for shelter A is greater than that for shelter B

*The data for shelter B are a symmetric data set

Step-by-step explanation:

Let's take each stated option and examine the box plot to see which is TRUE or NOT.

OPTION 1: "The median weight for shelter A is greater than that for shelter B."

The median for shelter A = 21,

Median for shelter B = 18

Median weight for shelter A (21) is greater than that for shelter B.

This statement in this option is TRUE.

OPTION 2: "The median weight for shelter B is greater than that for shelter A."

Median for B (18) < median of A (21)

This statement in option is NOT TRUE.

OPTION 3: "The data for shelter A are a symmetric data set."

This is NOT TRUE because the length of both whiskers are unequal and also, the box is not divided equally. One side is longer than the other.

OPTION 4: "The data for shelter B are a symmetric data set."

This is TRUE because the length of both whiskers are relatively equal, and also, the rectangular box is divided equally.

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2 years ago

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elixir [45]

Answer:

Greater

Step-by-step explanation:

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2 years ago

You measure the lifetime of a random sample of 25 rats that are exposed to 10 Sv of radiation (the equivalent of 1000 REM), for

Slav-nsk [51]

Answer:

CI 95%(μ)= [13.506 ; 14.094]

Step-by-step explanation:

The confidence interval (CI) formula is:

CI (1-alpha) (μ)= mean+- [(Z(alpha/2))* σ/sqrt(n)]

alpha= is the proportion of the distribution tails that are outside the confidence interval. In this case, 5% because 100-90%

Z(5%/2)= is the critical value of the standardized normal distribution. In this case is 1.96

σ= standard deviation. In this case 0.75 day

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n= number of observations . In this case 25

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CI 95%(μ)= 13.8+- [1.96*(0.75/sqrt(25)]

CI 95%(μ)= 13.8+- [1.96*(0.75/5) ]

CI 95%(μ)= 13.8+- (0.294)

CI 95%(μ)= [13.8-0.294 ; 13.8+0.294]

CI 95%(μ)= [13.506 ; 14.094]

4 0

2 years ago