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3 years ago

The Box is being packed without gaps or overlaps with unit cubes

Mathematics

1 answer:

Lena [83]3 years ago

4 0

The volume of a box is the product of its dimensions

The volume of the box is 11 unit cube

<h3>How to determine the volume</h3>

From the question, we have the following highlights

The cubes are unit cubes
The boxes are packed without gaps

The volume of a unit cube is:

Volume = 1 unit cube

There are 11 cubes in the box. So, the volume of the box is:

Volume = 11 *1 unit cube

Volume = 11 unit cube

Hence, the volume of the box is 11 unit cube

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An arithmetic series a consists of consecutive integers that are multiples of 4 what is the sum of the first 9 terms of this seq

frez [133]

<h3>Answer: 144</h3><h3>Step-by-step explanation:</h3><h3 />

Since, the first 9 multiple of 4 starts from 0 are,

0, 4, 8, 12, 16, 20, ................

Which is an AP,

Having the first term, $a_1 = 0$

And, the successive difference, d = 4,

Since, the sum of the n term of an AP,

$S_n = \frac{n}{2}[2a + (n-1)d]$

Hence the sum of 9 term of the above AP,

$S_9 = \frac{9}{2}[2\times 0 + (9-1)\times 4]$

$S_9 = \frac{9}{2}(0 + 8\times 4)$

$S_9 = \frac{9}{2}(32)$

$S_9 = \frac{288}{2}=144$

6 0

3 years ago

Chris won at most 300 tickets at an arcade game. He spent 128 tickets on a ball and the rest on gum. Each piece of gum was 25 ti

DENIUS [597]

Answer:

The answer is about 7 pieces of gum

Step-by-step explanation:

because yes

3 0

4 years ago

Gavin drank 4 5 liter of water Monday before going jogging. He drank 2 3 liter of water after his jog. How much water did Gavin

Hoochie [10]

Answer:

<h2>8.0 liters</h2>

Step-by-step explanation:

The question is not well-formatted, this is supposed to be the correct format

<em>Gavin drank 4.5 liter of water Monday before going jogging. He drank 2.3 liter of water after his jog. How much water did Gavin drink altogether? Write your answer as a mixed number.</em>

Given

we are told that he first drank 4.5 liters of water before jogging

after jogging he drank 2.3 liters

Required

Total amount of water drank

=4.5+3.5

=8.0liters

5 0

3 years ago

What is the equation of the line parallel to 3x + 2y = -4 that goes through the point (4, -1)?

Basile [38]

Answer:

y=-3/2x+5

Step-by-step explanation:

3x + 2y = -4

2y=-4-3x /:2

y=-4/2-3x/2

y=-3/2x-2

Slope=-3/2(=m) , because this line is parallel slope is the same, then

y-y1=m(x-x1) ,where

A(4,-1).... x1 =4, y1 =-1

y-(-1)=-3/2(x-4)

y+1=-3/2x+3/2*4

y+1=-3/2x+6

y=-3/2x+6-1

y=-3/2x+5

7 0

4 years ago

Find PR<br><br> KL is 28<br> KM is 18<br> PT is 15.75

stepan [7]

Answer:

PR = 24.5

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{KL}{PR}$ = $\frac{KM}{PT}$ , that is

$\frac{28}{PR}$ = $\frac{18}{15.75}$ ( cross- multiply )

18PR = 28 × 15.75 = 441 ( divide both sides by 18 )

PR = 24. 5

8 0

3 years ago

The Box is being packed without gaps or overlaps with unit cubes​

The Box is being packed without gaps or overlaps with unit cubes