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Sergeu [11.5K]
3 years ago
15

Huong packed 189 cubes into small, rectangular, empty box. The cubes cimpletely filled the box. The edge length of each cube was

1/2 of an inch. Which statement correctly finds justifies the box's volume based on the number of cubes packed into it ?
Mathematics
1 answer:
earnstyle [38]3 years ago
3 0

Answer:

See Explanation

Step-by-step explanation:

Given

Cube:

L = \frac{1}{2}\ in

Cubes = 189

The question is incomplete. However, I will solve for the volume of the rectangular box.

First, calculate the volume of 1 cube.

Volume = Length^3

V_1 = L^3

V_1 = \frac{1}{2}^3

V_1 = \frac{1}{8}

The volume of the box is calculated by multiplying the number of cubes by the volume of the cube.

V_2 = 189 * V_1

V_2 = 189 * \frac{1}{8}\ in^3

V_2 = \frac{189}{8}\ in^3

V_2 = 23.625\ in^3

The volume of the box is 23.625\ in^3

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Duncan rode 2 kilometers on his bike.Harold rode twice as far as Duncan and Sara combined. How many kilometers did the three fri
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Answer:

Total distance covered by all three friends is,

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30 km assuming that Sara traveled a distance of 8 km.

Step-by-step explanation:

Let D denotes the distance that Duncan covered on his bike.

Let H denotes the distance that Harold covered on his bike.

Let S denotes the distance that Sara covered on her bike.

Duncan rode 2 kilometers on his bike.

Mathematically,

D = 2 km

Harold rode twice as far as Duncan and Sara combined.

Mathematically,

H = 2(D + S)

H = 2(2 + S)

H = 4 + 2S

The distance covered by three friends all together is  

D + H + S

We don’t have enough information at this point to find out the total distance covered by all of them, so we need to assume the distance covered by Sara.

Assuming that Sara covered 0 km then

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H = 4

Then total distance is

D + H + S

2 + 4 + 0

6 km

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H = 4 + 2(2)

H = 8

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Assuming that Sara covered 3 km then

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15 km

Assuming that Sara covered 8 km then

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Then total distance is

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30 km

Therefore, the total distance covered by all three friends is,

15 km assuming that Sara traveled a distance of 3 km.

30 km assuming that Sara traveled a distance of 8 km.

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