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andre [41]
3 years ago
14

A rectangular prism with a volume of 10 cubic units is filled with cubes with side length of 1/2 unit

Mathematics
2 answers:
xxTIMURxx [149]3 years ago
5 0

volume of rectangular prism = 10 units³

volume of each cube = \frac{1}{2}  \times\frac{1}{2} \times\frac{1}{2} = \frac{1}{8} units^3

required cubes = \frac{10}{ \frac{1}{8} }= 80

Alenkasestr [34]3 years ago
4 0
<h3>Solution:</h3>

<u>We know that:</u>

1. \space\ V_{Rectangular \space\ prism}  = 10 \text\] units^{3}\\\\2. \space\ L_{Small \space\ cube} = \frac{1}{2} \space\ units\\\\ 3. \space\ V_{Small \space\ cube} = L ^{3}

<u>Step-1: Find the volume of the small cube.</u>

V_{Small \space\ cube} = L ^{3}

V_{Small \space\ cube} = (\frac{1}{2})  ^{3}

V_{Small \space\ cube} = (\frac{1}{2}) (\frac{1}{2}) (\frac{1}{2})

V_{Small \space\ cube} = \frac{1}{8} \space\ units^{3}

<u>Step-2: Divide.</u>

\frac{10}{\frac{1}{8} }\\\\ \Rrightarrow(10)(8)\\ \\ \Rrightarrow 80

Hence, 80 cubes can be fit in the <u>rectangular prism.</u>

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Answer:

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To the nearest hundredth, what is the value of A(6)? (Use 3.14 for .)
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3 years ago
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Nastasia [14]

Answer:

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Step-by-step explanation:

We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius. The graph shows the center at (-5, -2), and the radius of 5. So plugging this in

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6 0
2 years ago
The length of a rectangle is seven times its width. The area of the rectangle is 175 square centimeters. Find the dimensions of
dimulka [17.4K]

Answer:

<h3>The length is 35cm</h3><h3>The width is 5cm</h3><h3 />

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

The length is seven times the width is written as

l = 7w

Area of the rectangle = 175 cm²

7w × w = 175

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Find the square root of both sides

w = √25

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Read 2 more answers
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