1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
enyata [817]
3 years ago
6

Melissa is stacking storage cubes in a crate the bottom of the crate is 8 inches by 12 inches. The volume of the crate is 768 cu

bic inches. If a storage cube has a length of 4 inches, how many storage cubes will fit in the crate?
Mathematics
2 answers:
slamgirl [31]3 years ago
5 0

Answer: 12 storage cubes will fit into Melissa's crate

Step-by-step explanation:

Melissa's crate is a cuboid. Since the crate has a bottom dimension of 8 inches by 12 inches, it is assumed that the width of the cuboid (crate) is 8 inches and the length of the cuboid is 12 inches.

Since the volume = 768 cubic inches, the length = ? inches

The volume of cuboid = length × width × height

768 = 12 × 8 × h

96 × h = 768

h = 768/96

h = 8 inches

The height of the cuboid is 8 inches.

Now, since each of the cubes being stacked into the crate has a side of 4 inches, the volume of each cube is therefore:-

Volume of a cube = L^3 (since all sides of a cube is equal)

Where L = length of a side of cube

Volume = 4 × 4 × 4

Volume = 64 cubic inches.

To calculate the quantity of storage cubes that can fit into the crate, we then divide the volume of the crate by the volume of the storage cube:

= 768/64

= 12

Therefore, 12 storage cubes will fit into the crate.

Karo-lina-s [1.5K]3 years ago
3 0

Answer:

12 cubes can fit in the create.

Step-by-step explanation:

We know that the volume of a the crate is 768 in³, and the definition of the volume is:

V=A*h

Where:

  • V is the volume
  • A is the area (A=8*12 in²)
  • h is the height

So h=\frac{V}{A}=\frac{768}{12*8}=8 in    

Now, we know that the storage cube has a length of 4 in so we have a volume equal to 64 in³. Therefore we just need to divide 768 in³ by 64 in³ it is 12.

Finally, 12 cubes can fit in the create.

I hope it helps you!    

You might be interested in
A teacher asks her students to write down the number of hours studied, rounded to the nearest half hour. She compiles the result
irina1246 [14]

Answer:1.50

Step-by-step explanation:None

5 0
3 years ago
Read 2 more answers
John is going camping, and he needs to buy a tent. The outdoor store has one that cost $90, but it's on sale for 25% off. What i
pochemuha

Answer:

A

Step-by-step explanation:

<em>Okay so, im not the best at explaining, but so we have a percentage. its 25%. you want to take the 25% and put it over 100 because a percentage is a number or ratio expressed as a fraction of 100. so it will be written as 25%/100</em>

<em />

<em>divide 25 by 100 and you get 0.25, correct? so that's one step further towards the answer.</em>

<em>then we write x/90 because we don't know (well we do) what we're gonna put. but, we're gonna multiply 0.25 by 90 and we get 22.5, which is equivalent to </em><em>22.50</em><em>.</em>

7 0
3 years ago
Read 2 more answers
What is 8 2/5% of 75? Write your answer as a decimal
likoan [24]

Answer: 0.875

Step-by-step explanation:

The answer that has already been given is perfect in and by itself. I just want to give you some methods for doing these type of questions so that you won’t stagger when you see these type of questions in exams (like the SAT).

Whenever you see such questions, remember the following things. These are conversions of English words to Mathematical tools.

What

=

Any variable like

x

Percent / Percentage / %

=

Divide by 100

of

=

Multiply

is

=

Put an equal to (

=

) sign

I’ll give you an example through a question.

What percent of 200 is 5?

Ans: Replace English words by mathematical tools according to the rules I told you.

x

( What) /100 ( percent)

×

( of) 200

=

( is) 5

In a refined form,

x

100

×

200

=

5

Calculate x. On calculating, x comes out to be

2.5

So, 2.5 percent of 200 is 5.

Now your question is actually very simple if you follow my rules.

You want 87.5%. By the rules, % means divided by 100. So

87.5

%

=

87.5

100

and now using the same strategy, Ans:

875

1000

Disregard the next section if you know how to convert a decimal to a fraction

Section Starts

First, I’ll write the decimal form. Whenever you divide by a number that is in form of 1 followed by

n

number of zeroes. (here 1 is followed by 2 zeroes), you should shift the decimal point to the left side by n places.

In this case, shift decimal point in 87.5 to the left by 2 places. So this becomes 0.875.

This is the answer in decimal point.

Now simultaneously, I’ll teach you how to convert a decimal into a fraction.

Here, you see 2 types of “numbers”. One to the left side of the decimal point and one to the right side of the decimal point.

Here, left side of decimal point is 0 and right side of decimal point is 875.

Count the number of digits in the number to the right side of the decimal point (Here, the number of digits is 3)

Remove the decimal point and divide the number by a number formed by 1 followed by the “digits” we obtained (i.e. 3).

So, 875/1000. Simplify this, and you get your answer.

5 0
2 years ago
Which equation can be used to find the area of trapezoid PQRT?
vladimir2022 [97]

Answer:

Area of a trapezoid is found with the formula, A=(a+b)/2 x h

Step-by-step explanation:

8 0
3 years ago
Sam needs to cut a piece of sheet metal into 8 pieces. It takes him 5minutes to make each cut. How many cuts will sam make?
Virty [35]
This is actually a trick question if you were to take this question head on. Say for instance you are cutting all the pieces from the same sheet of metal, the equation would NOT be 8 times 5 equals 40 minutes, but rather 7 times 5 equals 35 minutes. this is because on the 7th cut, it takes that from 6 sheets of metal to 8 because you get 2 from that cut. Take for instence, a Hersheys candy bar. It is 3 bars thick, but it only takes 2 breaks to sever the 3 strips. So, that being said, sam will make 7 cuts and those 7 cuts will make a times of 35 minutes.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Two planes intersect in exactly one point.<br><br> A)always<br> B)sometimes<br> C)never
    11·1 answer
  • Simplify 7 • 8 – 9 + 36 ÷ 3 <br> A) 45<br> B) 47<br> C) 57<br> D) 59
    11·2 answers
  • In international morse code, each letter in the alphabet is symbolized by a series of dots and dashes: the letter a, for example
    9·1 answer
  • Identify the sequence as arithmetic, geometric, or neither. Explain your answer.
    11·1 answer
  • The ratio of the measures of the sides of a triangle is 9:12:5. If the perimeter of the triangle is 130 feet find the measures o
    11·2 answers
  • Help please
    5·1 answer
  • What is the value of x in the equation 8+4 = 2(x-1)?
    8·2 answers
  • Terry and Ed start a lawn mowing business and purchase the mowers and equipment for $800. They charge $20 for each lawn and use
    7·1 answer
  • I need help with math
    9·1 answer
  • Translation: (x,y)→(x+7,y+5) Coordinates: Y(−5,−4), X(−5,−1), W(−2,0), V(−2,−5)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!