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Alex787 [66]
2 years ago
13

A diagram of a rectangular prism filled with unit cubes is shown below. Each unit cube has

Mathematics
1 answer:
Naily [24]2 years ago
7 0

The volume of the rectangular prism filled with unit cubes each measuring the value of the length given is 72ft³.

Hence, Option D) 72ft³ is the correct answer.

<h3>Rectangular Prism and Cube</h3>

A rectangular prism is simply a three-dimensional solid shape with six faces which are rectangles.

The volume of a rectangular prism is expressed as;

V = l × w × h

Where l is length, w is width and h is height of the prism

A cube is a three-dimensional solid with six equal square-shaped sides.  

Given the data in the question;

  • Length of the sides of the cube = 1 foot
  • Length of the rectangular prism l = 4 cubes × 1 foot = 4ft
  • Width of the rectangular prism w = 3 cubes × 1 foot = 3ft
  • Height of the rectangular prism l = 6 cubes × 1 foot = 6ft

To determine the volume of the rectangular prism, we substitute our given values into the expression above.

V = l × w × h

V = 4ft × 3ft × 6ft

V = 72ft³

Option D) 72ft³ is the correct answer.

Hence, the volume of the rectangular prism filled with unit cubes each measuring the value of the length given is 72ft³.

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Please help and explain please !!!!!!
weeeeeb [17]


The answer for number one is 4. 

How do you simplify the square root of 4? It's simple. What times itself equals 4?   The answer would be 2! And because its √4×√4 it is simplified into 2×2=4

For number 2  the same thing applies. What times itself equals 12?

This one is a little tricky because it is not a perfect square (like how √4 is.)

But the square root of 12 is 3.46, which we can round to about 3.5.

Now what is the square root of 6? Once agian it is not a perfect root so the answer will be a decimal. 2.44 or rounded to 2.45. 

Now what is 3.5 × 2.45? Answer is the answer is about 8.57 or rounded
 8.60.

For the third question what is the square root of 7? The answer would be  about 2.65.
Remember PEMDAS. Parenthesis, exponents, multiply, divide, add, subtract. (yeah you know this:)
First comes parenthesis. SO 1 minus 2.65 is equal to  - 1.65.
Next set of parenthesis is 1+ the square √7 so it would be the opposite of what we just did. So 1 plus 2.65. That equals 3.65.

Now when there are 2 sets of parenthesis next to eachother )( 
That means we need to MULTIPLY the two sides.
So 
-1.65 × 3.65 ≈  - 6.

Last but not least Number 30. It might look scary but  its not.

What is the square root of 2? 
Its about 1.5. 
The fraction is just another form for  this  3÷1.5 
The answer is 2. 

Hope this was Helpful, sorry it was a little long but you needed an explanation :)



6 0
3 years ago
Davis is building a wooden bench. He has 2 3/5feet of lumber in his garage and buys 8 1/2feet of lumber at the store. How many t
Firdavs [7]

Answer:

Below.

Step-by-step explanation:

2 3/5 + 8 1/2

= 2 + 8  + 3/5 + 1/2

= 10 + 3/5 + 1/2

The LCM of 5 and 2 is 10 so we get:

10 + 6/10 + 5/10

= 10 + 11/10

= 10 + 1 1/10

= 11 1/10 feet.

8 0
3 years ago
Working her way through school, Julie works two part-time jobs for a total of 35 hours a week. Job A pays $6.10 per hour, and Jo
geniusboy [140]

Answer:

<u>Julie worked 18 hours at Job A and 17 hours at Job B.</u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Rate per hour at Job A = US$ 6.10

Rate per hour at Job B = US$$ 7.40

Hours at Job A = x

Hours at Job B = 35 - x

Total of hours worked by Julie = 35 hours

Total weekly earnings = US$ 235.60

2. How many hours did she work at each job the week that she made $235.60?

For finding the result, we will use the following formula:

6.10x + 7.4 (35 - x) = 235.60

6.10x + 259 - 7.4x = 235.60

-1.3x = 235.60 - 259 (Subtracting 259 to both sides)

-1.3x = - 23.40

x = -23.4/-1.3 (Dividing by -1.3)

x = 18

<u>Julie worked 18 hours at Job A, so she worked 17 (35 - 18) hours at Job B.</u>

3. Proof that x = 18 is correct.

6.10x + 7.4 (35 - x) = 235.60

6.10 (18) + 7.4 (35 - 18) = 235.60

109.80 + 125.80 = 235.60

<u>235.60 = 235.60</u>

<u>It's proven that x = 18 is correct.</u>

6 0
3 years ago
Read 2 more answers
Select true or false to tell whether the following conditional p q is true or false. Use the truth table if needed.
qwelly [4]

The given condition on the basis of truth table is true.

According to the statement

we have given that the some condition p and q. and we have to find that  the given condition is true or false on the basis of the truth table.

So, The given conditions are:

If 3 + 2 = 5, Then 5 + 5 = 10

Now,

The Truth table is a tabular representation of all the combinations of values for inputs and their corresponding outputs. It is a mathematical table that shows all possible outcomes that would occur from all possible scenarios that are considered.

So, the given conditions are properly verified with the truth table. So, it is true.

So, The given condition on the basis of truth table is true.

Learn more about Truth table here

brainly.com/question/18575348

#SPJ1

3 0
2 years ago
PLSSSSS HELPPPPP ASAAPPPP
scZoUnD [109]

Answer:

2 inches per hour

Step-by-step explanation:

The first snowfall was in two hours with an accumulation of 4 inches, so 4/2=2 inches per hour

8 0
3 years ago
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