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Dafna11 [192]
3 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]3 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]3 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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Ksivusya [100]

Answer:13 students

Step-by-step explanation: 6+7=13

6 0
4 years ago
I forgot how to do this.
lana [24]
It's equal to the exponent, 2 to what power = x^3 y^5
5 0
4 years ago
The width of a rectangle is (x+1) and the length is (x-6). What is the length and width of the rectangle if the area is 30 squar
jolli1 [7]

Answer:

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) =  10 feet

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the width of the rectangle  = (x+1) feet</em>

<em>Given that the length of the rectangle = ( x-6) feet</em>

<em>The area of the rectangle = 30 square feet</em>

<u><em>Step(ii):-</em></u>

We know that the area of the rectangle

                = length ×width

    30   = ( x+1)(x-6)

    30   = x² - 6x + x -6

⇒ x² - 5 x - 6 = 30

⇒ x² - 5 x - 6 - 30 =0

⇒ x² - 5 x - 36 =0

 x² - 9 x +4x - 36 =0

   x (x-9) +4 ( x-9) =0

   ( x+4 ) ( x-9) =0

     ( x+4 ) =0 and  ( x-9) =0

     x =-4 and x =9

<u><em>Step(iii):-</em></u>

we have to choose x =9

     The length of the rectangle (l) =  x-6 = 9-6 =3

      The width of the rectangle (W) =  x+1 =  9 +1 = 10

<u><em>Final answer:-</em></u>

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) =  10 feet

5 0
3 years ago
What does y= 4x+rx+6 equal? (Solve for x)
Tems11 [23]
Minus 6 both sides
y-6=4x+rx
undistribute x
y-6=x(4+r)
dividie both sides by (4+r)
\frac{y-6}{4+r}=x
x=\frac{y-6}{r+4}
6 0
4 years ago
5x – 12 = 13<br><br> 8(x + 3) = 64<br><br> using algebra
loris [4]

Answer:

A) 5 and B) 5

Step-by-step explanation:

A) 5x-12=13

        +12    +12 (add 12 to the 13)

    5x=25  

(then divide 25 by 5 which is 5 so the answer is 5)

B) 8(x+3)=64  (first use distributive property)

   8x+24=64

        -24   -24    (then subtract 24 to 64 which is 40)

    8x=40

(then divide 40 by 8 which is 5 so that is it!)

I believe this is correct, I hope this helps :D

   

3 0
3 years ago
Read 2 more answers
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