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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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Answer:

a) 1 minute and 12 seconds

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Step-by-step explanation:

A and B are simple so for C:

21 laps = 5 * 4 = 20, 6 * 4 = 24, 20 + 1 = 21, 24 + 1 minute and 12 seconds = 25 minutes and 12 seconds

12 * 5 = 60

If I messed up tell me I keep confusing myself.

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3 years ago
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Ned had 36 apples but he needed to share them evenly to 5 friends. How many apples will each friend get?

Step-by-step explanation:I hope this helps

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3 years ago
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3 years ago
Jeff bought 4 oranges and 7 apples for a total of $4.88. Gene bought 12 oranges and 8 apples for a total of $7.88. What is the c
rjkz [21]
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4 0
3 years ago
A picture frame measures 9 inches high and 5.4 Inches wide. It will be proportionately enlarged so the height will be 15 inches.
VARVARA [1.3K]

Answer:

Width: 9 inches

Step-by-step explanation:

1. We can see that the height increased by 6 inches, provided a difference of 15 and 9. If the question states that the frame's dimensions were proportionately enlarged, perhaps the height's enlargment could be benificial

2. If we were to take a ratio where the increased height is over the previous height (height enlargment/prior height) that would be 6/9, or in other words, can be simplified to be 2/3

3. We can see that if the width were to be enlarged, we might be able to determine how much it should be enlarged through a proportionality, provided <em>the frame's dimensions are proportionately enlarged.</em> Now if x ⇒ the width enlargment: 2 / 3 = x / 5.4

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2 * 5.4 = 3 * x,

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x = <em>3.6 inches by which the width should be enlarged</em>

5. If we are to determine the new width of the frame after enlargment, add <em>5.4 to 3.6 ⇒ the width of the frame ⇒ 9 inches</em>

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3 years ago
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