a box has length 9.0cm width 6.0 and height 10.2cm. find the total surface area of the box and the volume of the box​

Total surface area : 207cm²

Volume : 550.8³

Step-by-step explanation:

Surface area, first need to work out the area of each face.

A box is symmetrical so some faces will be the same.

Area = Base × Height

Top/bottom : 9 × 6 = 54cm²

side/side = 6 × 10.2 = 61.2cm²

Front/Back = 9 × 10.2 = 91.8cm²

Add then all together

54 + 61.2 + 91.8 = 207cm²

Volume = base × height × width

9 × 6 × 10.2 =550.8cm³

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497