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statuscvo [17]
3 years ago
11

A rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4

Mathematics
2 answers:
Snezhnost [94]3 years ago
7 0

Answer:

192

Step-by-step explanation:

Step 1:

The volume of the prism is 3 cubic units. This means the prism can be filled with 3 unit cubes.

Step 2:

How many cubes with 1/4-unit side lengths can fit in a cube with 1-unit side lengths?

Step 3:

There are 64 cubes with 1/4-unit side lengths in 1 cubic unit.

Step 4:

Since the rectangular prism is made up of 3 cubic units, we would have 3*64 total cubes with 1/4-unit side lengths.

3*64=192

Step 5:

It takes 192 of the 1/4 unit cubes to fill the prism.

ruslelena [56]3 years ago
6 0

Answer:

192

Step-by-step explanation:

The volume of a prism is 3 cubic units. Dividing each cube into 1/4 size cubes means each small cube will have 1/64 cubic inches.

This means 64 1/4 cubes fit into 1 cube. So for 3 cubes, 3*64 = 192 cubes.

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10
natka813 [3]

Answer:

x= -8 , y = 5

x= 25/4 , y = 1/4

Step-by-step explanation:

substitute first eqn into the second eqn:

(7 - 3y)^2 -y^2 = 39

49 - 42y + 9y^2 - y^2 = 39

8y^2 - 42y +10 =0

4y^2 - 21y + 5 = 0

(4y-1) (y-5) = 0

y= 1/4 , 5

when y=1/4

x = 7- 3/4

=25/4

when y= 5

x = 7- 15

= -8

5 0
3 years ago
Read 2 more answers
Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 6-inch radius A = sq. in.
katovenus [111]
\bf \textit{area of an equilateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}\qquad 
\begin{cases}
s=length~of\\
\qquad a~side\\
-------\\
s=6
\end{cases}\implies A=\cfrac{6^2\sqrt{3}}{4}\implies A=\cfrac{36\sqrt{3}}{4}
\\\\\\
A=9\sqrt{3}
8 0
3 years ago
Which of these is one of the most expensive fees you will encounter with checking accounts?
grigory [225]

Answer:

atm fees that is your answer

Step-by-step explanation:

8 0
3 years ago
What is the GCF of 35 and 42
zzz [600]
The greatest common factor of 35 and 42 is 7

35/7 is 5 and 42/7 is 6

Hope this helps!
3 0
3 years ago
Read 2 more answers
The cost to rent a rug-cleaning machine from the supermarket is $23 per day. The supermarket charges a check-out fee of $45 for
igomit [66]

Answer:

23d + 45 = 137

Explanation:

Since it is $23 per day, that dollar amount must be associated with a variable that multiples it per day that it is rented. Finally, you need to add the one time $45. This equation can then be used to find how many days it was rented for.

23d + 45 = 137

23d = 92 (Subtract 45 from both sides)

d = 4 (Divide by 23 on both sides)

The rug-cleaning machine was rented for 4 days. You found this using the equation: 23d + 45 = 137

8 0
3 years ago
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