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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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8 0
3 years ago
Which expression is equivalent to (7 + 2i)(-3 - 4i)?
malfutka [58]
B -13 -34i

(7 + 2i)(-3 - 4i)
Take the 7 then times it buy the second bracket 7x(-3-4i) then take 2i from the first bracket and times it with the second bracket 2ix (-3-4i)

Then keep simplifying
5 0
2 years ago
How can you tell that −10 and −20 are solutions to this inequality, but 10 is not? 3n − 40 &lt; −5n + 8
pochemuha

Step-by-step explanation:

-10 or -20 satisfies the equation.

But when you substitute 10 in:

30-40<-50+8

-10<-42(wrong)

it's wrong

6 0
2 years ago
What percent of 100.9 is 82??
Oksi-84 [34.3K]

Answer:

81%

Step-by-step explanation:

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5 0
2 years ago
I feel like it would be 6/10 but that’s not an answer
kupik [55]

Answer:

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Step-by-step explanation:

6 0
2 years ago
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