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Lelechka [254]
4 years ago
8

How many cubes with side lengths of 1/3 cm does it take to fill the prism?​

Mathematics
1 answer:
Alex787 [66]4 years ago
7 0

Answer:

120 tiny cubes

Step-by-step explanation:

Find the volume of both the tiny cubes and the big cube. Then we will take big volume cube and divide it by tiny cube volume.

So big cube has volume (5/3*4/3*2)=40/9 cm^3

Tiny cube volume is (1/3*1/3*1/3)=1/27 cm^3

(40/9) divided by (1/27)

is the same as 40/9 time 27=40(27)/9=40(3)=120

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The sum of a two digit number and the number obtained by interchanging the digits is 132. If the two digits differ by 2, find th
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Answer:

A two-digit number can be written as:

a*10 + b*1

Where a and b are single-digit numbers, and a ≠ 0.

We know that:

"The sum of a two-digit number and the number obtained by interchanging the digits is 132."

then:

a*10 + b*1 + (b*10 + a*1) = 132

And we also know that the digits differ by 2.

then:

a = b + 2

or

a =  b - 2

So let's solve this:

We start with the equation:

a*10 + b*1 + (b*10 + a*1) = 132

(a*10 + a) + (b*10 + b) = 132

a*11 + b*11 = 132

(a + b)*11 = 132

(a + b) = 132/11 = 12

Then:

a + b = 12

And remember that:

a = b + 2

or

a = b - 2

Then if we select the first one, we get:

a + b = 12

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2*b + 2 = 12

2*b = 12 -2 = 10

b = 10/2 = 5

b = 5

then a = b + 2= 5 + 2 = 7

The number is 75.

And if we selected:

a = b - 2, we would get the number 57.

Both are valid solutions because we are changing the order of the digits, so is the same:

75 + 57

than

57 + 75.

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