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Archy [21]
2 years ago
10

A rectangular prism has a length of 10 in., a width of 2 in., and a height of 3 1/2 in. The prism is filled with cubes that have

edge lengths of 1/2 in.How many cubes are needed to fill the rectangular prism
Mathematics
2 answers:
Alenkasestr [34]2 years ago
7 0

Solution:

<u>Step-1: Find the volume of the rectangular prism.</u>

  • Volume of rectangular prism: LBH
  • => Volume of rectangular prism: (10)(2)(3 1/2)
  • => Volume of rectangular prism: (10)(2)(3.5)
  • => Volume of rectangular prism: (2)(35)
  • => Volume of rectangular prism: 70 in³

<u>Step-2: Find the volume of the small cube.</u>

  • Volume of cube: L³
  • => Volume of cube: (1/2)³
  • => Volume of cube: (1³/2³)
  • => Volume of cube: (1/8)

<u>Step-3: Divide.</u>

  • 70 ÷ 1/8
  • => 70 x 8
  • => 560 cubes

Thus, 560 cubes are needed to fill the rectangular prism.

zalisa [80]2 years ago
4 0

Answer:

2.5

Step-by-step explanation:

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Which equation represents the rectangular form of r= 8?
docker41 [41]

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B

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put both sides under square root.

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3 years ago
Ice cream is best stores at 4 degree F with an allowance of 3 degree F. What is the best range to store ice cream?
zhuklara [117]

Answer:

1°F to 7°F  is the best range to store ice cream.

Step-by-step explanation:

The ideal storage temperature of ice cream = 4°F

The allowance in the temperature is 3°F

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Now, 4°F + 3°F  =  7°F

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Hence, 1°F to 7°F  is the best range to store ice cream.

7 0
3 years ago
Solve x+2/x-4&lt;0<br><br> A)–4 &lt; x &lt; –2<br> B)–2 &lt; x &lt; 4<br> C)–2 &lt; x &lt; –4
Gelneren [198K]

Domain:\ x\neq-2\\\\\dfrac{x+2}{x-4}

Other method:

\dfrac{x+2}{x-4}

zeros of numerator and denominator are x = -2 and x = 4.

Look at the second picture.

for x < -2 → x + 2 < 0 and x - 4 < 0

therefore \dfrac{x + 2}{x - 4}=\dfrac{(-)}{(-)}>0

for -2 < x < 4 → x + 2 > 0 and x - 4 < 0

therefore \dfrac{x+2}{x-4}=\dfrac{(+)}{(-)} < 0

for x > 4 → x + 2 > 0 and x - 4 > 0

therefore \dfrac{x+2}{x-4}=\dfrac{(+)}{(+)} > 0

<h3>Answer: B) -2 < x < 4</h3>

4 0
3 years ago
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