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Verdich [7]
3 years ago
10

Draw a rectangular prism with length 8 feet, width 5 feet, and height 3 1/2 feet. Imagine this rectangular prism is full of wate

r. Now draw a second rectangular prism with length 26 feet, width 10 feet, and height 4 feet. If you poured all the water from the first rectangular prism into the second, how high would the water be?
Mathematics
1 answer:
Alexandra [31]3 years ago
7 0

Answer:

the water will be 0.538 feet high

Step-by-step explanation:

Once the rectangles have been sketched out, with their correct dimensions, we will notice that the quantity of water that will fill the first rectangular prism simply equals to its volume.

The volume of the rectangular prism can be obtained by using the formula:

length X breadth X height.

First Prism:

Volume of the first prism =  8 X 5 X 3.5 = 140 square feet.

Second Prism

The same volume of water was poured into the second prism which had a different dimension from the first. To calculate the new height, we will use the fact that the volume = base area X height.

hence height = volume / base area

height of water = 140 / (26 X 10 ) = 0.538 feet

Therefore, the water will be 0.538 feet high

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Answer:

The GFC is 2

Step-by-step explanation:

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3 years ago
The greater of two numbers is 5 more than the smaller. If the
xenn [34]

Answer:

First number = 4

Second number = 9

Step-by-step explanation:

If the first number = x, the second number = x + 5.

The calculation can be expressed as follows:

x + 2(x + 5) = 22

First, expand the bracket 2(x + 5):

x + 2x + 10 = 22

Combine like terms:

3x + 10 = 22

Subtract 10 from both sides:

3x = 12

Divide both sides by 3:

x = 4

First number = 4

Second number = 4 + 5 = 9

5 0
1 year ago
What is the value of x? (1) x2+x+10=16 (2) x=4y4+2y2+2?
alexandr402 [8]
X equals the square root of 6-x 


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5 0
3 years ago
How many quarts of pure antifreeze must be added to 8 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution
anyanavicka [17]

Let <em>q</em> be the number of quarts of pure antifreeze that needs to be added to get the desired solution.

8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.

The new solution would have a total volume of 8 + <em>q</em> quarts, and it would contain a total amount of 3.2 + <em>q</em> quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means

(3.2 + <em>q</em>) / (8 + <em>q</em>) = 0.60

Solve for <em>q</em> :

3.2 + <em>q</em> = 0.60 (8 + <em>q</em>)

3.2 + <em>q</em> = 4.8 + 0.6<em>q</em>

0.4<em>q</em> = 1.6

<em>q</em> = 4

4 0
2 years ago
What is the GCF of 28a^3 b and 16ab ? <br><br> A)4ab<br> B)4a3b<br> C)28ab<br> D)112a3b2
N76 [4]
28a⁴b: 2 · 2 · 7 · a · a · a · a · b
 16ab: 2 · 2 · 2 · 2 · a · b

GCF(28a⁴b, 16ab) = 4ab

The answer is A.
7 0
3 years ago
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