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goblinko [34]
4 years ago
13

A rectangular prism has a length of 20 in a width of 2 in and a height of 3 1/4 in the prism is filled with cubes that have edge

lengths of 1/4 in how many cubes are needed ro fill the rectangular prism
Mathematics
1 answer:
Zinaida [17]4 years ago
7 0
You can express the edge lengths in terms of "cubes" or you divide the total volume by the volume of a cube. It works either way.

Edge lengths are
.. 80 cubes by 8 cutes by 13 cubes
so total volume is
.. (80 * 8 * 13) = 8320 cubes


In cubic inches, the volume is
.. (20 in)*(2 in)*(3 1/4 in) = 130 in^3.
The volume of a 1/4-in cube is (1/4 in)^3 = 1/64 in^3.
Then the number of cubes that will fit in the prism is
.. (130 in^3)/(1/64 in^3) = 8320 . . . . cubes

8320 cubes are needed to fill the rectangular prism.
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3. Ifu={1,2,3,4,5,6,7,8,9, 10}
Elanso [62]

Answer:

we conclude that:

  • X∩Y∩Z = {2, 4, 7, 9}

Step-by-step explanation:

Given

u = {1,2,3,4,5,6,7,8,9, 10}

X= {1,2,4,6,7,8,9}

Y= {1,2,3,4,7,9)

Z= {2,3,4,7,9)

To determine

X∩Y∩Z = ?

We know that the intersection of three given sets represents the largest set which consists of all the elements that are common to all the sets.

The intersection of sets is denoted by the symbol '∩'.

Thus,

X= {1,2,4,6,7,8,9}

Y= {1,2,3,4,7,9)

Z= {2,3,4,7,9)

X∩Y∩Z = {2, 4, 7, 9}

Therefore, we conclude that:

  • X∩Y∩Z = {2, 4, 7, 9}
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