5 gallons 11 quarts divided by 5

Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are inches long, inches wide, and 8 inche

allochka39001 [22]

Answer:

- The number of small boxes that will fill the large box 1 = 64

- The number of small boxes that will fill the large box 2 = 56

Step-by-step explanation:

Complete Question

Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are 4.5 inches long, 4.5 inches wide, and 8 inches tall. To transport the items to an event, you want to know how many of the small boxes will fit in larger boxes. The larger boxes are available in two sizes. Large Box 1 is 24.25 inches long, 18 inches wide, and 24 inches tall. Large Box 2 is 20.5 inches long, 18.5 inches wide, and 24 inches tall. Both the small and large boxes must remain upright.

Solution

To know how many of the small boxes will fit in larger boxes, we need to obtain the volumes of the small box, large box 1 and large box 2.

Volume of a cuboid = L × W × H

For the small box,

Length = L = 4.5 inches

Width = W = 4.5 inches

Height = H = 8 inches

Volume of the small box = 4.5 × 4.5 × 8 = 162 in³

For large box 1,

Length = L = 24.25 inches

Width = W = 18 inches

Height = H = 24 inches

Volume of the large box 1 = 24.25 × 18 × 24 = 10,476 in³

For large box 2

Length = L = 20.5 inches

Width = W = 18.5 inches

Height = H = 24 inches

Volume of the large box 2 = 20.5 × 18.5 × 24 = 9,102 in³

The number of small boxes that'll fill the large box 1 = (10,476/162) = 64.667 = 64 small boxes (rounded down because the fraction cannot be forced into the large box 1.

The number of small boxes that will fill the large box 2 = (9,102/162) = 56.185 = 56 small boxes.

Hope this Helps!!!

7 0

3 years ago

7. What is the cardinality of each of the following sets?

zysi [14]

Answer:

The cardinality of set (a) is 0,

the cardinality of set (b) is 1

and

the cardinality of set (c) is 3.

Step-by-step explanation: We are given to find the cardinality of each of the following sets :

(a) { }.

(b) { { } }.

(c) {a, {a}, {a, {a}} }.

We know that

CARDINALITY of a set is the number of elements present in the set.

(a) The given set is A = { }.

The set A is an empty set, so it does not contain any element. Hence, the cardinality of the set A is 0.

(b) The given set is B = { { } }.

The set is B is singleton set, contains only one element (that is empty set). So, the cardinality of the set B is 1.

(c) The given set is C = {a, {a}, {a, {a}} }.

The set C has three elements, a, the set {a} and the set {a, {a}}. So, the the cardinality of set C is 3.

Thus,

the cardinality of set (a) is 0,

the cardinality of set (b) is 1

and

the cardinality of set (c) is 3.

8 0

3 years ago

Carry me in Rainbow six siege i need to reach plat put your xbox gamertag down below

Anuta_ua [19.1K]

Answer:

My username is

Step-by-step explanation:

IloveSatorisamam

4 0

3 years ago

Read 2 more answers

Solve equation 3(n - 5) = 7 - 2(n + 1)

AlladinOne [14]

Answer:

n= 4

Step-by-step explanation:

3 multiplied by n is 3n.

3 multiplied by -5 is -15.

so 3n-15= 7-2(n+1)

7-2(n+1) is -2 multiplied by n is -2n and -2 multiplied by 1 is -2.

3n-15=7-2n-2

then move the variables to one side and numbers to the one side.

3n+2n=15+7-2

*If you are moving across the equation the symbols change. Like negative to positive. Division to multiplication.

so 5n=22-2

5n=20

5 multiplied by 4 is 20 so n is going to be 4.

N=4

7 0

3 years ago

Read 2 more answers

Figure ABCD is a parallelogram

Nadya [2.5K]

The first thing we must do for this case is to find the relationship between the variables.

We have then:

$AB = DC\\4y - 2 = 2y + 6$

From here, we clear the value of "Y":

$4y - 2y = 6 + 2\\2y = 8$

$y = \frac{8}{2}\\y = 4$

On the other hand we have:

$AD = BC\\3x - 1 = 2x + 2$

From here, we clear the value of "x":

$3x - 2x = 2 + 1\\x = 3$

Then, replacing values we have:

$AB = DC = 4y - 2 = 4 (4) - 2 = 16 - 2 = 14\\AB = DC = 14$

On the other hand:

$AD = BC = 2x + 2 = 2 (3) + 2 = 6 + 2 = 8\\AD = BC = 8$

Finally, the perimeter is given by:

$P = AB + DC + AD + BC$

Substituting values we have:

$P = 14 + 14 + 8 + 8\\P = 44$

Answer:

the perimeter of ABCD is:

44 units

4 0

3 years ago

Read 2 more answers