The volume of the space filled with tissue paper in the packaging box is 198.264 cubic centimeters
Let l,b,h be the dimensions of small gift box V1 = Volume = l*b*h
= 24cm^3
Dimension of Large box are 2.1l , 2.1b,2.1h
Volume of large box = 2.1 l*2.1b*2.1h
= (2.1)^3*lbh
= (2.1)^3*24
V2 =222.264
Volume filled with tissue paper is V2-V1
222.264 - 24
= 198.264cm^3
Hence The volume of the space filled with tissue paper in the packaging box is 198.264 cubic centimeters
The complete question is shown below
Zoe is packaging a gift to send in the mail. A smaller gift box is placed inside a similar yet larger packaging box. The empty space inside the packaging box is filled with tissue paper to keep the gift box from moving. The dimensions of the larger box are each 2.1 times longer than the corresponding dimensions of the smaller box. The volume of the smaller box is 24 cubic centimeters.What is the volume of the tissue paper in the packaging box?
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0.8 inches
the volume (V) of a sphere is calculated using the formula
V = 
πr³
change the subject and express in terms of r
multiply both sides by 3
3V = 4πr³ ( divide both sides by 4π )
r³ = 3V / 4π ( take the cube root of both sides )
r = ∛( 3V /4π )
sphere A with V= 40
r = ∛ (120 / 12.56 ) = 2.122
sphere B with V = 10
r = ∛(30 / 12.56 ) = 1.337
sphere A - sphere B = 2.122 - 1.337 = 0.8 inches ( to nearest tenth )
Answer:
Step-by-step explanation:
To find : Acceleration in first 15 min . Distance between two cities Average speed of journey
Solution:
Each horizontal block is 1/8 hr = 7.5 min
Each vertical block is 10 km/hr
Time Velocity km/hr
0 Min ( 0 hr) 0
15 Min (1/4 hr) 50
45 Min (3/4 hr) 50
60 MIn ( 1 hr) 100
90 Min ( 3/2 hr) 100
120 Min ( 2hr) 0
Acceleration in first 15 min (1/4 hr) = (50 - 0)/(1/4 - 0) = 50/(1/4)
= 200 km/h²
Distance between two cities
= (1/2)(0 + 50)(1/4 - 0) + 50 * (3/4 - 1/4) + (1/2)(50 + 100)(1 - 3/4) + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)
= 25/4 + 25 + 75/4 + 50 + 25
= 125
Distance between two cities = 125 km
Average Speed of journey = 125/2 = 62.5 km/hr
Acceleration in first 15 min = 200 km/h²
Distance between two cities = 125 km
Average Speed of journey = 62.5 km/hr
Hope this helps..
19.99+12.49=32.48
19.99 for the movie and 12.49 for the earphones together they make 32.48
-452°F < 212°F
A negative number is always less than a positive.
