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3 years ago

The volume of a cube is 125 cubic inches. what is the length of one edge of the cube?

Mathematics

1 answer:

jeyben [28]3 years ago

8 0

V=S^3 (Volume is equal to the side cubed)
V=125
125=S^3 (Now cube root both sides to isolate your side, s)
5=S

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Find the following bases.

Oduvanchick [21]

Answer:

a.. 8% of ? = 20 240

b.75% of ? = 30 40

c. 20% of ? = 45 225

d. 150% of ? = 36 24

The steps of answer is in attached file

Hope it helps..

Have a great day : )

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2 years ago

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If the code for CAB is DEK, what is the code for BED?

snow_tiger [21]

Answer:

CIM

Step-by-step explanation:

C is the 3rd letter of the alphabet, A is the 1st, and B is the 2nd.

CAB = 3,1,2

Repeating for DEK:

DEK = 4,5,11

Comparing:

4−3 = 1

5−1 = 4

11−2 = 9

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So the code is CIM.

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3 years ago

How do you completely factor: 2x^3 – 5x^2 – 22x + 55

DochEvi [55]

Answer:(X^2-11)(2X-5)

Step-by-step explanation:

2x^3-5x^2-22x+55

x^2(2x-5)-11(2x-5)

(X^2-11)(2X-5)

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3 years ago

The savings account offering which of these APRs and compounding periods

Ann [662]

Answer:

The answer is "Option C"

Step-by-step explanation:

The using formula $= (1+\frac{r}{n})^n -1$

→r = rate

→ n = compounded value

In choice a:

When compounded is monthly $4.0784\%$

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$\to (1+ \frac{0.040784}{12})^{12} = 1.0403-1 = 0.0403$

In choice b:

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Whenn compounded is daily $4.0730 \%$

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In choice d:

When compounded is semiannually $4.0798\%$

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2 years ago

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A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than

ruslelena [56]

Answer:

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

Step-by-step explanation:

Cuboid : A cuboid is a three dimension shape. The length ,breadth and height of a cuboid are not same.

A cuboid has 6 faces.
A cuboid contains 8 vertices.
A cuboid contains 12 edges .
The total surface area of a cuboid is

= 2(length×breadth+breadth×height+length×height) square units

The dimension of a cuboid is written as length×breadth×height.

The volume is( length×breadth×height) cubic units

Given that the volume of the box is 192 cubic inches.

Let x inches be the width of the cuboid.

Since the length is twice as long as its width.

Then length = 2x inches

Again height is 2 inches longer than width.

Then height = (x+2) inches.

Therefore the volume of the cuboid is

$=[x\times 2x\times (x+2)]$ cubic inches

$=[2x^2(x+2)]$ cubic inches

$=(2x^3+4x^2)$ cubic inches

According to the problem,

$2x^3+4x^2=192$

$\Rightarrow 2x^3+4x^2-192=0$

$\Rightarrow 2(x^3+2x^2-96)=0$

$\Rightarrow (x^3+2x^2-96)=0$

$\Rightarrow x^3-4x^2+6x^2-24x+24x-96=0$

$\Rightarrow x^2(x-4) +6x(x-4)+24(x-4)=0$

$\Rightarrow (x-4)(x^2+6x+24)=0$

Therefore x=4

Since the all zeros of x²+6x+24 =0 is negative.

Therefore breadth = 4 inches

length=(2×4) inches=8 inches

and height = (4+2)inches = 6 inches.

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

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3 years ago