Aright rectangle prism has a length of 5 cm a width of 4 cm and a height of 3 cm the dimensions of the prism are doubled what is the surface area of the larger prism

376 cm^2

Step-by-step explanation:

First you would double all the dimensions:

l = 5 cm x 2 = 10 cm

w = 4 cm x 2 = 8 cm

h = 3 cm x 2 = 6 cm

The formula for finding the surface area of a rectangular prism is A=2(wl+hl+hw)

Substitute the values:

A=2(8*10+6*10+6*8)

Solve using PEMDAS:

A=2(80+60+48)

A=2(188)

A=376

Surface area is always in units^2:

376 cm^2

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}