Volume of large box = 5832 in^3
Volume of shoe box = 12*6*5=360 in^3
Maximum number of shoe boxes that might fit in the large box
= 5832/360 = 16.2, or 16.
However, we have to verify the dimensions to make sure each side fits.
For example, if the large box is 18x18x18=5832 in^3,
then we can only fit, along each dimension:
18/12=1.5 => 1 (6 inches remaining)
18/6=3 => 3 (0 inches remaining)
18/5=3.6 => 3 (3 inches remaining)
That make 9 boxes.
However, we still have a gap of 6 inches that we can fit shoe boxes vertically, i.e.
6/6=1 row
18/12=1 row
18/5 = 3 rows
That will fit 3 more boxes for a total of 9+3=12 boxes (instead of 16 boxes).
So 16 is the MAXIMUM number of boxes (according to volume).
The actual number of boxes will depend on the dimensions of the large box. 18x18x18 was given just as an example.
If further explanations are needed, please post in comments.
Answer:5
Step-by-step explanation:
Circumference of a cirlce=2πr
Data:
r=7 in
Circumference=2(3.141592....)(7 in)=43.9822...in≈44 in.
Answer: 44 inches.
Answer:
m∠A = 139°
Step-by-step explanation:
Since knowing that:
Supplementary angles = 180 degree
Thus we put that in both equation:
( 7x - 15 ) + ( 2x - 3 ) = 180
Combine like terms & use inverse operations to find the value of x:
( 7x - 15 ) + ( 2x - 3 ) = 180
9x - 18 = 180
9x - 18 + 18 = 180 + 18
9x = 198
9x/9 = 198/9
x = 22
Hence, Angle A will have a measure of 7x - 15 which means 7 × 22 -15 = 154 - 15 = 139°
m∠A = 139°
The measure of Angle B will be 2x - 3 = 2 • 22 - 3 = 44 - 3 = 41°
m∠ B = 41°
Check Answer by add 139 and 31 which equal 180
<u><em>~lenvy~</em></u>
Answer:
The largest number of pyramids she can make from 20 bars of chocolate is:
Step-by-step explanation:
Firstly, you must find the volume of the 20 bars of chocolate, remember that each bar contains 6 cubic inches of chocolate (6 in^3), so:
- Volume of the bars = 6 in^3 * 20
- <u>Volume of the bars = 120 in^3</u>
Now, you must find the volume of each pyramid, using the next formula:
- Volume of a pyramid = 1/3 B * h
Where:
<em>B = area of the square base.</em>
<em>h = height of the pyramid.</em>
How these values are given in the problem, we only replace the values in the formula:
- Area of a pyramid = 1/3 (1 in^2) * 2 in
- <u>Area of a pyramid = 2/3 in^3</u>
Finally, we divide the volume of the bars in the volume of each pyramid:
- Total number of pyramids = 120 in^3 / 2/3 in^3
- <u>Total number of pyramids = 180</u>
