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Marta_Voda [28]
2 years ago
5

Colin and amil Each built boxes with a volume of 8 ft.³ Collins box is a cube almils box is a rectangular prism the length of am

ils box is twice the length of Collins box all of the side measures are whole numbers what could be the length width and height of amils box
Mathematics
1 answer:
SOVA2 [1]2 years ago
3 0

Answer:

4' x 2' x 1'

Step-by-step explanation:

Collins' cube has a volume of that is the length of any side, x, cubed:  Vol = x^3.  Since his box has 8^3, we can say that x = 2.  <u>[2^3 = 8]</u>

Amil's box has one side that is 2x.  That side would be 2*2 = 4 feet.  His volume is also 8 ft^3.  Amil's box also has a volume of 8 ft^3.

His box dimensions are therefore:  (4)(X)(Y) = 8 ft^3 , where X and Y are whole-number dimensions for the other 2 dimensions of his box.

(4)(X)(Y) = 8 ft^3

      X*Y = 2

The only combination of whole numbers for which this this would work is 1 and 2.

Amil's box is 4' x 2' x 1' or 8 ft^3

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How to solve step by step
jasenka [17]
X² = 16

the way to isolate your x variable is to square root both sides

√x² = √16
x = <span>± 4

so your answers are 4 and -4</span>
3 0
2 years ago
a box half full of apples weighs 40kg and the same box one fifth full weighs 22kg. what does the box weigh when empty?
likoan [24]
So in order to answer your question  we calculate 40 - 22 wich gives us the answer of 18, so now we can say that 4/5 of apples weight 18 so now 18 / 4 = 4,5; 4,5 * 5 = 22,5 wich is the weight of apples you can put in the box, to know the answer we deduct the greatest weight of apples only from the weight of the box with those apples so, 40 - 22,5 = 17,5
so the answer to your question is 17,5
i hope i helped you
6 0
3 years ago
If m 180<br> °<br> then <br> A. <br> Obtuse<br><br> B. <br> Vertical<br><br> C. <br> Complementary<br><br> D. <br> Supplementary
insens350 [35]

Answer:

vertical

Step-by-step explanation:

because 180degrees is a straight line

6 0
3 years ago
A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou
gogolik [260]

Answer: In degrees , The measure of \theta=65.5^{\circ}

In radians , the measure of  \theta =\dfrac{8}{7}\text{ radians}.

Step-by-step explanation:

We know that the formula for length of arc is given by :-

l=\theta r

, where \theta = Central angle subtended by arc.

r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l=  8 m

Substitute these values in the above formula , we get

8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}

Hence, the measure of \theta =\dfrac{8}{7}\text{ radians}.

To convert it into degrees we multiply it with \dfrac{180^{\circ}}{\pi}

The measure of \theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}

=(\dfrac{8\times180}{7\times3.14})^{\circ}=65.5141037307^{\circ}

\approx65.5^{\circ}

Hence, the measure of \theta=65.5^{\circ}

8 0
3 years ago
I WILL CHOOSE BRAINLIEST as long as it LOOKS correct<br><br> Solve 3 ( x − 4 ) = 12 x
omeli [17]

Answer:

The answer is (-4/3)

Step-by-step explanation:

3(x − 4) = 12x

Multiply (x – 4) by 3 we get,

3(x – 4) = 12x

3x – 12 = 12x

3x – 12x – 12 + 12 = 12x – 12x + 12

-9x = 12

-9x/(-9) = -12/9

x = -4/3

Thus, The value of x is -4/3

<u>-TheUnknownScientist 72</u>

4 0
1 year ago
Read 2 more answers
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