What number is 1/10 as great as 7,962.

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.

8 0

3 years ago

A candle maker has 4 1/2 pound of clear wax. He wants to cut the wax into pieces that are 2/3 pound each.

Vedmedyk [2.9K]

4 1/2 / 2/3 = 6 3/4

6 0

3 years ago

What is the difference between a confounding and a lurking variable?

Gennadij [26K]

Answer:

A lurking variable is a variable that has an important effect on the relationship among the variables in the study, but is not one of the explanatory variables studied. Two variables are confounded when their effects on a response variable cannot be distinguished from each other.

4 0

3 years ago

Read 2 more answers

Pls help i need this done as quick as possible

Anvisha [2.4K]

Answer:

Infinite Solutions.

Step-by-step explanation:

$m+7=3+m+4$

Subtract m from both sides:

$m+7-m=3+m+4-m$

$7=3+4$

$7=7$

Both sides are equal.

This means that the value of m does not affect the end result of 7 = 7, which is true. Thus, there are infinite solutions as any value of m will still make the equation true.

4 0

3 years ago

Divide using synthetic division.<br> -3x^3+11x^2-x+20 by (x-4).<br><br> Please show steps!

Vaselesa [24]

-3 11 -1 20
4 -12 -4 -20
-3 -1 -5 0
Bring down the -3,
Multiply -3 * 4
Add 11 and -12
Multiply -1 * 4
Add -1 and -4
Multiply -5 * 4
Add 20 and -20
Answer: The power is reduced by one from the
Dividend. -3x^2 – x - 5
I tried to upload a file also but I don't know if it will show up.

8 0

3 years ago