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 .
Answer: 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:
{7x^2+168x+840}/{x+12}
AB = 3
AB = AD
AB² + 4² = (AB + 2)²
AB² + 16 = AB² + 4AB + 4
combine like terms:
4AB = 12
