The ABC box company makes square puzzle cubes that measure 4 inches along each edge. They shipped the cubes in a box 8in x 12in
1 answer:
Answer:
They can ship 32 puzzle cubes in the box.
Step-by-step explanation:
Given that,
The ABC box company makes square puzzle cubes that measured 4 inches along sides.
The volume of each puzzle cubes = side³
=(4)³ cubic inches
The dimensions of the box is 8 in by 12 in by 16 in
Then the volume of the box is= (8×12×16) cubic inches
The number of puzzle cube that can contain by the box
=32
They can ship 32 puzzle cubes in the box.
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Answer:
25
Step-by-step explanation:
We require to solve for n, hence
n(n + 1) = 325
multiply both sides by 2 to eliminate the fraction
n(n + 1) = 650
n² + n = 650
subtract 650 from both sides to have equation in standard form
n² + n - 650 = 0 ← in standard form
(n + 26)(n - 25) = 0 ← in factored form
equate each factor to zero and solve for n
n + 26 = 0 ⇒ n = - 26
n - 25 = 0 ⇒ n = 25
however, n > 0 ⇒ n = 25