MATHEMATICS MIDDLE SCHOOL

It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism. What is the volume of the rectangular prism? Show your work or justify your solution.

Answers

Answer 1

Answer:

Answer:

The volume of the rectangular prism is 19.25 inches³.

Step-by-step explanation:

Given:

It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism.

Now, to find the rectangular prism's volume.

We first find the volume of a cube to fill in the rectangular prism.

The side length of the cube = $(1)/(2)\ inch.$

Now, to get the volume of cube we put formula:

$Volume=(side)^3\n\nVolume=((1)/(2))^3 \n\nVolume=(1)/(8)\ inch^3.$

Thus, the volume of a cube is $(1)/(8) \ inch^3.$

Number of cubes = 154.

According to question, it takes 154 cubes to fill the rectangular prism.

So, to get the volume of prism we need to find the volume of 154 cubes.

Now, to get the volume of 154 such cubes we multiply the volume of a cube by number of cubes:

$(1)/(8)* 154\n\n =(154)/(8)\n\n =19.25\ inches^3.$

Therefore, the volume of the rectangular prism is 19.25 inches³.

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Which expression represents the union of not a and not bA) P(A' ∩ B')

B) (A' ∩ B')

C) (A ∪ B)

D) A' ∪ B'

Answers

The expression represents the union of not A and not B will be A' ∪ B'. Then the correct option is D.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The expression represents the union of not A and not B mathematically as,

A' ∪ B'

Then the correct option is D.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

I think that would be D

In 2010, Dario Franchitti won the indy 500 with a race speed of over 160 miles per hour. The race is 500 miles long. What is the length of the race in yards? In feet?

Answers

(500 miles) x (1,760 yards/mile) = 880,000 yards

(500 miles) x (5,280 feet/mile) = 2,640,000 feet

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98 prime or composite

Answers

A prime number is a number that has no factors except ' 1 ' and itself.

If I can find any factors of 98 besides 1 and 98, then 98 is not prime.

The factors of 98 are 1, 2, 7, 14, 49, and 98 .

I guess 98 is not prime.
98 is composite.

98 is a composite number, because 98 has a divisor that is other than 1

suzanne needs materials for her school project. she buys 2.45 yards of material at $4.84 a yard. what is the total cost of the material? round to the nearest cent

Answers

If each yard of material costs $4.84, then you just take this amount and multiply it by 2.45. Therefore 2.45 x 4.84=11.86. Your answer is $11.86.

Suppose one Euro is worth $1.41 in U.S. What is the better buy for a book, 8 Euros or 11.00 U.S.?

Answers

The answer is $11.00 U.S. is a better buy.

$1.41 that a Euro is worth x 8 books =$11.28 cost of books comparing to Euro value

Need all these tomorrow!!!!! thank you all soooooOOOOOOooOoOOooOOoO much!!!!!

Answers

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