Mathematics: 8 inches, 6 inches, and 2 inches, respectively. How many cubes with side lengths of inches would be needed to fill the gift box? 116 875 cubes 935 cubes 163 5 cubes 1870 cubes

8 inches, 6 inches, and 2 inches, respectively., №12153405, 16.07.2022 09:52

Mathematics

1. The cost of petrol rises by 2 cents a liter. last week a man bought 20 liters at the old price. This week he bought 10 liters at the new price. Altogether, the petrol costs $9.20. What was the old price for 1 liter? 2. Teachers divided students into groups of 3. Each group of 3 wrote a report that had 9 pictures in it. The students used 585 pictures altogether. How many students were there in all? 3. Vera and Vikki are sisters. Vera is 4 years old and Vikki is 13 years old. What age will each sister be when Vikki is twice as old as Vera? 4.

Step-by-step answer

P Answered by Master

6

Answer for #1

Let the old price be
$
x
per liter. 10 liters would have cost a total of
$
10
x
.

The new price is
$
(
x
+
0.20
)
per liter. 10 liters would have cost
$
10
(
x
+
0.20
)
.

The total cost is
$
9.20
. So,

10
x
+
10
(
x
+
0.20
)
=
9.20
10
x
+
10
x
=
9.20
−
2
x
=
7.20
20
x
=
0.36

Thus, the old price was
$
0.36
per liter.

Mathematics

1. The cost of petrol rises by 2 cents a liter. last week a man bought 20 liters at the old price. This week he bought 10 liters at the new price. Altogether, the petrol costs $9.20. What was the old price for 1 liter? 2. Teachers divided students into groups of 3. Each group of 3 wrote a report that had 9 pictures in it. The students used 585 pictures altogether. How many students were there in all? 3. Vera and Vikki are sisters. Vera is 4 years old and Vikki is 13 years old. What age will each sister be when Vikki is twice as old as Vera? 4.

Step-by-step answer

P Answered by Specialist

6

Answer for #1

Let the old price be
$
x
per liter. 10 liters would have cost a total of
$
10
x
.

The new price is
$
(
x
+
0.20
)
per liter. 10 liters would have cost
$
10
(
x
+
0.20
)
.

The total cost is
$
9.20
. So,

10
x
+
10
(
x
+
0.20
)
=
9.20
10
x
+
10
x
=
9.20
−
2
x
=
7.20
20
x
=
0.36

Thus, the old price was
$
0.36
per liter.

Mathematics

1. how many cubic blocks of side length 1/7 inch would it take to fill a cube with a side length of 3/7 inch? 2. how many cubic blocks of side length 1/7 inch would it take to fill a rectangular prism with a length, width, and height of 3/7 inch, 1/7 inch, and 3/7 inch, respectively? 3.how many cubic blocks of side length 1/6 inch would it take to fill a cube with a side length of 2/6 inch?

Step-by-step answer

P Answered by Master

21

To find how many blocks it would take in each of these scenarios, you could find the total volume and then divide by the volume of each smaller cube.

1. 3/7 x 3/7 x 3/7 = 27/343 cubic inches
1/7 x 1/7 x 1/7 = 1/343 cubic inches

27/343 cubic inches divided by 1/343 cubic inches = 27 cubes.

2. 3/7 x 1/7 x 3/7 = 9/343 cubic inches
9/343 cubic inches divided into groups of 1/343 cubic inches is 9 cubes.

3. 2/6 x 2/6 x 2/6 = 8/216 cubic inches
8/216 cubic inches divided by 1/216 cubic inches is 8 cubes.

Another way to think of it would be for #1, each 3/7 of an inch would be 3 groups of 1/7, so 3 x 3 x 3 for each dimension would result in 27 cubes.

For #2, it would be 3 groups of 1/7, one group of 1/7 and another 3 groups of 1/7, so 3 x 3 is 9 cubes.

For #3 it would be 2 groups of 1/6 three times, so 2 x 2 x 2 = 8 cubes.

Mathematics

1. how many cubic blocks of side length 1/7 inch would it take to fill a cube with a side length of 3/7 inch? 2. how many cubic blocks of side length 1/7 inch would it take to fill a rectangular prism with a length, width, and height of 3/7 inch, 1/7 inch, and 3/7 inch, respectively? 3.how many cubic blocks of side length 1/6 inch would it take to fill a cube with a side length of 2/6 inch?

Step-by-step answer

P Answered by Master

21

To find how many blocks it would take in each of these scenarios, you could find the total volume and then divide by the volume of each smaller cube.

1. 3/7 x 3/7 x 3/7 = 27/343 cubic inches
1/7 x 1/7 x 1/7 = 1/343 cubic inches

27/343 cubic inches divided by 1/343 cubic inches = 27 cubes.

2. 3/7 x 1/7 x 3/7 = 9/343 cubic inches
9/343 cubic inches divided into groups of 1/343 cubic inches is 9 cubes.

3. 2/6 x 2/6 x 2/6 = 8/216 cubic inches
8/216 cubic inches divided by 1/216 cubic inches is 8 cubes.

Another way to think of it would be for #1, each 3/7 of an inch would be 3 groups of 1/7, so 3 x 3 x 3 for each dimension would result in 27 cubes.

For #2, it would be 3 groups of 1/7, one group of 1/7 and another 3 groups of 1/7, so 3 x 3 is 9 cubes.

For #3 it would be 2 groups of 1/6 three times, so 2 x 2 x 2 = 8 cubes.

Mathematics

HELP I ONLY HAVE THESE TWO QUESTIONS LEFT First, How Many cubic blocks of side length 1/6 inch would it take to fill a cube with a side length of 2/6 inch? Second question, How many cubic blocks of the side length 1/7 inch would it take to fill a Rectangular prism with a length, width,and height of 3/7, 1/7, and 3/7 inch, respectively?

Step-by-step answer

P Answered by Master

1. There are 8 cubic blocks are needed to fill a cube. Explanation in pic

2. 441 cubic blocks will fill the rectangular prism. Explanation in pic

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation: