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Dafna11 [192]
2 years ago
5

A right rectangular prism has edges measuring 3/4 inch, 1 inch, and 1/4 inch. How many cubes with side lengths of 1/4 would be n

eeded to fill the prism?
Mathematics
2 answers:
S_A_V [24]2 years ago
7 0

Answer:

Step-by-step explanation:

Number of cubes = Volume of rectangular prism / Volume of 1 cube

Volume of rectangular prism= length * width * height

              =\frac{3}{4}*1*\frac{1}{4}\\\\=\frac{3}{16}cubic inches

Volume of Cube= edge * edge *edge

                  =\frac{1}{4}*\frac{1}{4}*\frac{1}{4}\\\\=\frac{1}{64}cubic inches

Number of cubes= (3/16)÷(1/64)

            =\frac{3}{16}*\frac{64}{1}\\\\=3*4

            = 12 cubes

MAVERICK [17]2 years ago
4 0

Answer: 8

Step-by-step explanation:

Ask yourself how many can go into each number? 1/4=1.

1=4.

3/4=3.

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A circle is inscribed in an equilateral triangle. A point in the figure is selected at random. Find the probability that the poi
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Answer:

The correct answer is first option 60%

Step-by-step explanation:

The radius of a circle is inscribed in an equilateral triangle with side a = a/2√3

<u>To find the area of equilateral triangle</u>

Here side be 'a'

Area of equilateral = √3a²/4

<u>To find the area of circle</u>

Here radius = a/2√3

Area = πr²

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<u>To find the probability</u>

probability = area of circle/area of triangle

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The correct answer is first option 60%

 

8 0
2 years ago
A group of 485 people take a canoe trip. They fill up all avalible canoes that each hold 3 people with 273 people. The rest of t
Jobisdone [24]
Answer:
3c=273
c=91
2c= 212
C= 106
c= 91+ 106= 197
so they will need 197 canoes total

Why:
So first you have to determine a set variable to represent the number of canoes, I chose C. Then you make an equation to represent the number of canoes 273 people will use if they group into 3's, from this I got 3c=273. Solve for C and get 91.
The remainder of the group which is 485-273= 212 will use canoes in groups of 2's. To represent this, 2c=212. Solve for C and get 106. Combine 106 and 91 to get the total number of canoes.
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