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k0ka [10]
3 years ago
11

It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism. What is the volume of the rectangular prism? Show

your work or justify your solution.
Mathematics
1 answer:
Tju [1.3M]3 years ago
3 0

Answer:

The volume of the rectangular prism is <u>19.25 inches³</u>.

Step-by-step explanation:

Given:

It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism.

Now, to find the rectangular prism's volume.

We first find the volume of a cube to fill in the rectangular prism.

The side length of the cube = \frac{1}{2}\ inch.

Now, to get the volume of cube we put formula:

Volume=(side)^3\\\\Volume=(\frac{1}{2})^3 \\\\Volume=\frac{1}{8}\ inch^3.

<em>Thus, the volume of a cube is  </em>\frac{1}{8} \ inch^3.<em />

<em>Number of cubes = 154.</em>

<u><em>According to question, it takes 154 cubes to fill the rectangular prism.</em></u>

<u><em>So, to get the volume of prism we need to find the volume of 154 cubes.</em></u>

Now, to get the volume of 154 such cubes we multiply the volume of a cube by number of cubes:

\frac{1}{8}\times 154\\\\ =\frac{154}{8}\\\\ =19.25\ inches^3.

Therefore, the volume of the rectangular prism is 19.25 inches³.

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Can someone please help with this i don’t know that answer and I want to pass
Nataliya [291]

¹¹/48 of the full cup

Step-by-step explanation:

We add the two fraction first to determine the total ratio

¹/4 + ²/3 = ¹¹/12

She uses ¼ cup grape juice for ¹¹/12 cup full of diluted grape juice

Therefore;

¼ : ¹¹/12

How How much grape juice does Sarah use for each full cup of water, i.e ¹²/12

? (x) : ¹²/12

We cross multiply the ratios;

¹²/12 * ¼ = ¹¹/12 * x

³/12 = ¹¹/12 x

³/12 * ¹²/11 = x

¹¹/48 = x

5 0
2 years ago
1. Find p(-3) if p(x) = 4x3 - 5x2 + 7x - 10
SVETLANKA909090 [29]

Answer:

1) -184

2) 13(m^{4}) ^{2}-3(m^{4})+4

Step-by-step explanation:

For problem number 1, Let's start by substituting all the x's for -3

So the equation will look like

p(-3)=4(-3)^{3}-5(-3)^{2}+7(-3)-10

Now, lets simplify by solving the exponents

First we'll do -3^{3} which equals -27

Now we'll do -3^{2} which equals 9

So now our equation looks like

p(-3)=4(-27)-5(9)+7(-3)-10

Now, we are going to multiply all these numbers

First 4(-27) which equals -108

Now -5(9) which equals -45

And finally 7(-3) which equals -21

Now our equation looks like

p(-3)= -108-45-21-10

Now we can solve

-108-45-21-10=-184

8 0
3 years ago
Work your brain today y'all!! I had $3.00. My Mom gave me $10.00. My Dad Gave me $30.00. My Aunt &amp; Uncle gave me $100.00. I
Citrus2011 [14]

Hey there! I'm happy to help!

We start out with 3.

3

Our mom gives us 10.

3+10=13

Our dad gives us 30.

13+30=43

Our aunt and uncle give us 100.

43+100=143

And we have another 7.

143+7=150

Therefore, we have $150 now.

Have a wonderful day! :D

6 0
2 years ago
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What is the answer too 3-3*6 2=?
liq [111]
3-(3x62)=
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