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3 years ago

Just need that answer that’s it

Mathematics

1 answer:

8_murik_8 [283]3 years ago

5 0

Answer:

Step-by-step explanation:

just trust me on this one I know it I had it at school

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small cubes with edge lengths of 1/4 inch will be packed into the right rectangular prism shown.( the base is 4 1/2, the width i

ss7ja [257]

General Idea:

We need to find the volume of the small cube given the side length of the small cube as 1/4 inch.

Also we need to find the volume of the right rectangular prism with the given dimension (the height is 4 1/2, the width is 5, and the length is 3 3/4).

To find the number of small cubes that are needed to completely fill the right rectangular prism, we need to divide volume of right rectangular prism by volume of each small cube.

Formula Used:

$Volume \; of \; Cube = a^3 \; \\\{where \; a \; is \; side \; length \; of \; cube\}\\\\Volume \; of \; Right \; Rectangular \; Prism=L \times W \times H\\\{Where \; L \; is \; Length, \; W \; is \; Width, \;and \; H \; is \; Height\}$

Applying the concept:

Volume of Small Cube:

$V_{cube}= (\frac{1}{4} )^3= \frac{1}{64} \; in^3\\\\V_{Prism}= 3 \frac{3}{4} \times 5 \times 4 \frac{1}{2} = \frac{15}{4} \times \frac{5}{1} \times \frac{9}{2} = \frac{675}{8} \\\\Number \; of \; small \; cubes= \frac{V_{Prism}}{V_{Cube}} = \frac{675}{8} \div \frac{1}{64} \\\\Flip \; the \; second \; fraction\; and \; multiply \; with \; the \; first \; fraction\\\\Number \; of \; small \; cubes \;= \frac{675}{8} \times \frac{64}{1} = 5400$

Conclusion:

The number of small cubes with side length as 1/4 inches that are needed to completely fill the right rectangular prism whose height is 4 1/2 inches, width is 5 inches, and length is 3 3/4 inches is <em><u>5400 </u></em>

4 0

3 years ago

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3x+3(x+y) what is equivalent

NNADVOKAT [17]

Answer:

6x+3y

Step-by-step explanation:

6 0

3 years ago

Hello please help i’ll give brainliest

morpeh [17]

Answer:

Purpose!!

Step-by-step explanation:

These are examples of an author's purpose of writing something! :)

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3 years ago

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Convert r1,200 billion to million please help me out

Anika [276]

This is just converting billion to million, vice-versa.
1 million = 0.001 billion

1,200 billion = 1,200,000,000,000
So once it is converted, the answer will be,
1.2 x 10^15 million.

3 0

3 years ago

Rewrite the following equation into slope intercept form 3x - 4y = 20 and identify the slope and y - intercept.

Vladimir [108]

You solve for y and get
y=3/4x-5
Slope is 3/4
Y intercept is -5

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3 years ago

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