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borishaifa [10]
3 years ago
15

A rectangular prism has a length of 9 in., a width of 4 in., and a height of 1 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? Enter your answer in the box. To fill the rectangular prism, cubes are needed.
Mathematics
2 answers:
EastWind [94]3 years ago
4 0
<h3>Answer:</h3>

<u>Volume of rectangular prism = L × B × H</u>

  • 9 × 4 × 1.5
  • 54in³

Now,

<u>Volume of cube = a³</u>

  • 0.5 × 0.5 × 0.5
  • 0.125in³

So,

<u>No. of small cubes to be filled = 54in³/0.125in³</u>

  • 54/0.125
  • 432

<u>Hence, 432 cubes of edge 1/2 inches can be filled</u>.

sammy [17]3 years ago
3 0

Answer: 432 cubes

Step-by-step explanation:

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Am I correct? If not what did I do wrong
LUCKY_DIMON [66]

    You are not correct. Here's an explanation as to why: First of all, the triangle is isosceles, since it has two congruent sides that leads to the conclusion of two congruent angles, one opposite each side. This means that all three angle measurements of the triangle are x degrees, x degrees, and 40 degrees. To solve for x, add all three values together and set them equal to 180 degrees, the sum of three angles in any triangle. Your mistake is adding only one x to 40, which isn't inclusive of all three triangles. I hope this helped!

5 0
3 years ago
Anyone know the answer?
nexus9112 [7]

Answer:

<em>8,748 </em>

Step-by-step explanation:

f(x) = 12(3)^{x}

<em>f(6)</em> = 12(3)^{6} = 12 × 9³ = 12 × 729 = <em>8,748</em>

5 0
3 years ago
Two friends board an airliner just before departure time. There are only 11 seats left, 4 of which are aisle seats. How many way
Vadim26 [7]

Using the Fundamental Counting Theorem, it is found that:

The 2 people can arrange themselves in 40 ways.

<h3>What is the Fundamental Counting Theorem?</h3>

It is a theorem that states that if there are n things, each with n_1, n_2, \cdots, n_n ways to be done, each thing independent of the other, the number of ways they can be done is:

N = n_1 \times n_2 \times \cdots \times n_n

With one people in the aisle and one in the normal seats, the parameters are:

n1 = 4, n2 = 7

With both in the aisle, the parameters is:

n1 = 4, n2 = 3

Hence the number of ways is:

N = 4 x 7 + 4 x 3 = 28 + 12 = 40.

More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866

#SPJ1

8 0
2 years ago
3. Galshore of Maloat is making a journey from the island of Gont to Oranea. The distance from the two lands is 965 miles. Galsh
USPshnik [31]

Answer:

  3.  about 7.48 hours

  4.  about 1.8892 hours

Step-by-step explanation:

Both of these questions make use of the relation ...

  time = distance / speed

3. time = (965 mi)/(129 mi/h) ≈ 7.48062 h ≈ 7.48 h

__

4. time = (612.1 mi)/(324 mi/h) ≈ 1.889198 h ≈ 1.8892 h

(We have rounded the time to sufficient precision so that the distance at the given speed rounds to the number given.)

3 0
3 years ago
The dance committee of pine bluff school earns$72 from a bake sale and will earn $4 for each ticket they sell to the spring flin
Masja [62]
I think it would be 72+4x=400
400-72= 328
328/4= 82
So the answer would be 82=x
8 0
3 years ago
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