In order to find the smallest amount of cardboard needed, you need to find the total surface area of the rectangular prism.
Therefore, you need to understand how the cans are positioned in order to find the dimensions of the boxes: two layers of cans mean that the height is
h = 2 · 5 = 10 in
The other two dimensions depend on how many rows of how many cans you decide to place, the possibilities are 1×12, 2×6, 3×4, 4×3, 6×2, 12×1.
The smallest box possible will be the one in which the cans are placed 3×4 (or 4×3), therefore the dimensions will be:
a = 3 · 3 = 9in
b = 3 <span>· 4 = 12in
Now, you can calculate the total surface area:
A = 2</span>·(a·b + a·h + b·h)
= 2·(9·12 + 9·10 + 12·10)
= 2·(108 + 90 + 120)
= 2·318
= 636in²
Hence, the smallest amount of carboard needed for the boxes is 636 square inches.
Answer:
using the laws of exponents,
in this case the exponents or the powers will multiply
and therefore,
the answer is 5^1
3(x-9)
when you distribute the equation you get
3(x)-3(9) which is the last answer
Answer:
f(x) shifted up by 6 units
Please mark as Brainliest! :)
1. The numbers in the section to the right of the diagonal (white squares) are the same as in the section to the left of the diagonal. Or, in other words, the numbers in the darker shaded section are repeated in the lighter shaded section.
2. The 10 × table is just the 10s in order (10, 20, 30, 40 and so on).
3. The 5 × table has numbers ending in 5 and 0 alternately, while the first digit increases every 2 numbers.
4. The 9 × table has the units decreasing by 1 and the 10s increasing by 1 each time (up to 10 × 9).
5. The numbers in the 3 × table have the sum of their digits coming to 3, then 6, then 9. This pattern repeats throughout the table: e.g. 12: 1 + 2 = 3; 15: 1 + 5 = 6, 18: 1 + 8 = 9.
Hope my answer helped u :)