Camren has a clear container in the shape of a cube. Each edge is 9 centimeters long he found the volume of the container in cub
1 answer:
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5a) rotational symmetry is 2 because it can be rotated only 2 times before it turns to the original form.
b) perimeter is the total surface of all the sides so, because we are given a scale of 1 unit = 1cm then our measurements would be: 4cm + 3cm + 2cm + 1cm + 4cm + 3cm + 2cm + 1cm = 20cm.
c) To workout the area we need to divide the irregular shape into separate regular shapes<em>.</em><em> </em><em>the </em><em>diagram</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em><em>!</em><em> </em>Shape 1 is a rectangle so, area = L × W = 3 × 2 = 6cm. Shape 2 is a square so, area = side² = 2² = 4cm. Shape 3 is the same as shape 1 so the area is 6cm. Now to find the area of the whole shape we add these values so, 6+4+6= area of shape = 16cm.
d) <em>The</em><em> </em><em>dia</em><em>gram</em><em> </em><em>will</em><em> </em><em>show</em><em> </em><em>the</em><em> </em><em>answer</em><em>!</em>
Answer:
steps in attached picture
Step-by-step explanation:
<u>Answer:</u>
Only (B) is correct.
<u>Step-by-step explanation:</u>
Let, if the numbers in 2nd column are added , the sum is same as the sum of numbers in the 1st column and obviously all are integers and the sum is,
(33 + 58 +17) =108---------(1)
Now , let the 3 numbers in 2nd column are,
1.
2.
and
3.
So, the sum of the digits of the numbers in the 2nd colum are,
( a + b +c +d +e +f +g +h + i) -------------(2)
Now, c +f +i = 8 or 18 (since the last digit is 8 and 0 ≤ c + f +i ≤ 27)
Now,
sum of the numbers in 2nd column,
=
= -----------(3)
or = -------------(4)
or = -----------(5)
it must fall in one of above 3 forms i.e., (3) or (4) or (5)
in case (3),
(a + b + c + d + e + f + g + h + i) = (1 +8) = 9 ---- (6)
in case (4)
(a + b + c + d + e + f + g + h + i) = (10+8) = 18 and (1 + 8) =9 ---------(7)
in case (5)
(a + b + c + d + e + f + g + h + i) = (9 + 18) = 27 and 2 + 7 = 9 -------(8)
So, when the sum of numbers in the 2nd column is equal to the sum of numbers in the 1st column, the sum of digits of the numbers in the 2nd column will be 9.
So, when the sum of digits of the numbers in the 2nd column is not 9, the sum of those numbers won't be equal to the sum of numbers in the 1st column.
So, only (B) is correct.
[Note , that (C) is false. e.g. when the numbers in 2nd column is 6 , 1 and 2, then (6 +1 +2) = 9 ≠ 108 .]