Write the rule for the translation shown below.

A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled

n200080 [17]

Answer:

24000 pieces.

Step-by-step explanation:

Given:

Side lengths of cube = $\frac{1}{4} \ foot$

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

$Volume\ of\ cube =a^{3}$

$=\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot$

Length = 8 foot, Breadth = $6\frac{1}{4} =\frac{25}{4} \ foot$ , Height = $7\frac{1}{2} =\frac{15}{2} \ foot$

$Volume\ of\ rectangular\ prism =length\times breadth\times height$

$=8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot$

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = $\frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube$

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.

7 0

3 years ago

carley beat the school record for the 400 meter run by 1.3 seconds. if she ran the race in 55.7 seconds what was the record?

Vika [28.1K]

Answer:

If Carley ran the 400 meter run in a total of 55.7 seconds and she beat the record by 1.3 seconds, you would add 55.7 and 1.3

55.7+1.3= 57 seconds

The past school record for the girls 400 meter run was 57 seconds

Hope this helps ;)

4 0

3 years ago

How to formulate 2 linear equations from word problems?

Aleks04 [339]

If the problem youre solving as the value of the x and y you can make those linear equations, however u can make them with only the x val

7 0

3 years ago

What is the mode 13 15 15 11 18 18 11 9 12 10 18 18

ki77a [65]

Answer:

A 18

Step-by-step explanation:

The mode means "The Most". There are more 18's than any other number.

7 0

3 years ago

Read 2 more answers

Bailey bought a lawnmower for $600. The value of the lawnmower depreciates 2% every year. What is the value of the lawnmower aft

givi [52]

Answer:

$542

Step-by-step explanation:

we know that

The equation of a exponential decay function is given by

$y=a(1-r)^x$

where

y is the value of the lawnmower

x is the time in years

a is the initial value

r is the rate of change

we have

$a=\$600\\r=2\%=2/100=0.02$

substitute

$y=600(1-0.02)^x$

$y=600(0.98)^x$

For x=5 years

$y=600(0.98)^5=\$542$

8 0

3 years ago