When any two lines intersect, four angles are formed. If the intersection is perpendicular, then each angle is 90°

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

Graph the points (0,-2), (4,0) and (2,0). If you want to create a parallelogram, which of the following points should used for t

MariettaO [177]

( 2 , - 2 )

................

8 0

2 years ago

I NEED HELP PLEASE, THANKS.

saveliy_v [14]

Answer:

B. $33.7 mm; 54mm^2$

Step-by-step explanation:

To find the perimeter, use the formula:

P = a + b + c

P = 12 + 12 + 9.7

P = 33.7

To find area, use the formula:

A = $\frac{1}{2} bh$

A = $\frac{1}{2} (12)(9)$

A = $\frac{1}{2} (108)$

A = 54

6 0

3 years ago

Find the product 12 , -5

Nastasia [14]

The product of 12 and -5 is -5(12) = -60. Note that 12(-5) = -60 also.

4 0

3 years ago

My other equation for a dfferent problem is 1+y=-4/5x-2

slava [35]

Answer:

y-intecept= positive 6

slope is 3/8

Step-by-step explanation:

y−6= 3/8x This is standard form

change to slope-intercept form

y=mx+b

m=slope

b=y-intercept

y= 3 /8 x+6

5 0

3 years ago