A teacher has two boxes. The first box has a height of 15 in., a width of 6 in., and a length of 8 in. The second box’s dimensions are twice that of the first box. How many times larger is the surface area of the second box than the first box? A. The surface area of the second box is 6 times larger.
B. The surface area of the second box is 4 times larger.
C. The surface area of the second box is 3 times larger.
D. The surface area of the second box is 2 times larger.

The correct option is B: the surface area of the second box is 4 times larger.

Step-by-step explanation:

The surface area of the first box is given by:

Where:

l₁: is the length = 8 in

h₁: is the height = 15 in

w₁: is the width = 6 in

The second box's dimensions are:

l₂ = 2*8 in = 16 in

h₂ = 2*15 in = 30 in

w₂ = 2*6 in = 12 in

Hence, the surface area of the second box is:

Therefore, the correct option is B: the surface area of the second box is 4 times larger.

I hope it helps you!                              

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.