Question

Brenda made two similar glass display boxes shaped like triangular prisms. The length of the sides of the base of the first display box is 4 feet, and the length of the sides of the base of the second display box is 8 feet. If the volume of the first display box is 42 ft3, what is the volume of the second display box?

Answer 1

4^2 sin(60)
---------- = base triangle area i believe
2

Answer 2

base = sqrt(3)

sqrt(3) * h = 42

h = 42/sqrt(3) , is that right?

Answer 3

336 ft3
672 ft3
1344 ft3
2688 ft3

Answer 4

is the choices

Answer 5

then with any luck we will arrive at one of those choices :)

Answer 6

ok lets do it

Answer 7

4*4 sin(60)
---------- = base area
2

4*4*sqrt(3)
--------- = 4sqrt(3) for the base area
4

4sqrt(3) * h = 42

h = 21/2sqrt(3)

Answer 8

if we double this to be similar to the other one in measure we get a height of 21/sqrt(3)

Answer 9

base area of other one is:

8*8 sin(60) 8*8*sqrt(3)
---------- = ---------- = 16 sqrt(3)
2 4


16sqrt(3) * 21/sqrt(3) = 16*21 ... 210 +126 = 336 ... maybe?

Answer 10

yay!! its an option, if its right or not tho ... lol

Answer 11

good enough for me haha thanks

Answer 12

yw, i cant see any fauxpauxes in my work so it might be good; at least an 83% chance of success lol