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zlopas [31]
3 years ago
15

A box without a top is made from a rectangular piece of cardboard, with dimensions 4 m by 2 m, by cutting out square corners wit

h side length x.
Which expression can be used to determine the greatest possible volume of the cardboard box?
(x−4)(x−2)x

(x−4)(x−2)x

(4−2x)(2−2x)x

(4x−2)(2x−4)

Mathematics
1 answer:
Ede4ka [16]3 years ago
6 0

Answer:

The expression that can be used to find the volume of the cardboard box is:

(4−2x)(2−2x)x

Step-by-step explanation:

A box without a top is made from a rectangular piece of cardboard, with dimensions 4 m by 2 m, by cutting out square corners with side length x.

i.e. the box is in the shape of a cuboid.

Now the volume of a box is same as the volume of a cuboid.

We know that the volume of a cuboid is given as:

Volume of cuboid=Length×Breadth×Height.

So, the length of the cuboid box is: 4-2x

and the width of the box is: 2-2x

Also, the height of box is: x

Hence, the volume of cuboid is:

Volume=(4-2x)\times (2-2x)\times x\\\\Volume=(4-2x)(2-2x)x

Hence, the expression for the volume of cuboid box is:

             (4−2x)(2−2x)x

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balu736 [363]
I don’t know sorry please somebody else can help you
8 0
2 years ago
-15=2t-11 does any one know it please
Murljashka [212]

Add 11 to both sides:

-4=-2t

divide 2 by both sides

2=t

Hope it helps! Comment if you have any questions!

5 0
2 years ago
Read 2 more answers
What are the two equations that need to be solved to find the solutions for the absolute value equation |x-5|=x-2
Allushta [10]

Answer:

x - 5 = x - 2   and

x - 5 = 2 - x.

Step-by-step explanation:

x - 5 may be positive or negative so we have:

x - 5 = x - 2  

and

x - 5 = - (x  - 2)

x - 5 = 2 - x.

6 0
3 years ago
The cylinder is 10 meters wide and the volume is 300 cubic meters what's the height of the cylinder?
daser333 [38]
Cylinder is 10 meters wide, so its diameter is 10 meters. You get radius of it by dividing 10 by 2, which equals 5.
As you count volume of cylinder from that equation
V=A*h= \pi  r^{2}*h 
You get an equation to count height:
h= \frac{V}{ \pi  r^{2} } 
h≈3.82 meters
4 0
3 years ago
The average summer vacation costs $2252. If 82% of this amount is charged on credit cards, then what amount of the vacation cost
expeople1 [14]

Answer: $1846.64

Step-by-step explanation:

Given : The average summer vacation costs $2252.

If 82% of this amount is charged on credit cards, then the amount of the vacation cost is charged will be :-

82\%\text{ of }\$2252\\\\\text{Convert percent into fraction by dividing it by 100, we get}\\\\=\$[\dfrac{82}{100}\times2252]\\\\=\$[\dfrac{184664}{100}]\\\\=\$1846.64

Therefore the amount of the vacation cost is charged= $1846.64

3 0
2 years ago
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