There are 900 toothpicks in a regular-sized box. if a jumbo box is made by tripling all the dimensions of the regular-sized box, how many toothpicks will the jumbo box hold?

When you triple the height of the box, it can hold (900 x 3) = 2,700 pieces.

Then triple its length, and it can hold (2,700 x 3) = 8,100 pieces.

Then triple its width, and it can hold (8,100 x 3) = 24,300 pieces.

When you triple the dimensions of a 3D object, it has 27 times its original volume.  (900 x 27) = 24,300 .

24300 toothpicks

Step-by-step explanation:

The volume of the box can be written as:

V0 = W*L*H

where W is the width, L is the length and H is the height.

We know that in V0 we can put 900 toothpicks.

Now, if we triply each of the dimensions we have that:

V = 3W*3L*3H = (3*3*3)*W*L*H

and we know that W*L*H = V0

V = 27*V0

and if in V0 we can put 900 toothpicks, then in V we can put 27 times that amount, this is:

27*900 = 24300 toothpicks

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d

i believe the answer is 323 ft

step-by-step explanation: