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3 years ago

Billy likes to go cycling

Mathematics

2 answers:

Yuki888 [10]3 years ago

7 0

If I'm correct it's 0.9

schepotkina [342]3 years ago

5 0

I think that the answer is 0.9

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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 5400 

4 0

3 years ago

Read 2 more answers

What value of a makes this equation true?

Goshia [24]

9/10=a/30. and value of a is 27

7 0

4 years ago

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During the 14 days 2,744 people Visited a new store. The same number of people Visited the store each day. About how many people

Pie

You just said that "the same number of people visited each day",
so there's no "about" about it. It has to be an exact number.

Each day, (2744)/(14) = 196 people visited.

8 0

3 years ago

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I will give brainliest if u answer these two questions

Vitek1552 [10]

Answer:

1) 5 1/8

2)4 5/8

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3 years ago

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Write the addition statement represented by each diagram -8 +5

solmaris [256]

Answer:

Here is the diagram that Han drew to represent 0.25. Draw a different diagram that represents 0.25. Explain why your diagram and Han's diagram represent the same number. Figure $\Page Index{9}$ For each of these numbers, draw or describe two different diagrams that represent it. $0.1$ $0.02$ $0.43$ Use diagrams of base-ten units to.

Step-by-step explanation:

3 0

3 years ago