Mathematics, 14.07.2019 21:30 johnandashley5p65r4a

The length is one inch more than the width, which is one inch more than the height. the volume is 847.875 cubic inches.

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The length is one inch more than the width, which is one inch more than the height. The volume is 847.875 cubic inches. Thus, the actual length is 10.5 inches, the width is 9.5 in and the height is 8.5 in.

From the given information;

The length is one inch more than the width i.e.

L = w + 1 ( where width = w)

Now, the width is one inch more than the height i.e.

w = h + 1The height = h

Now, the length can written again as L = h + 1 + 1

L = h + 2

The volume (v) = 847.875 in³

We all know that the volume (V) of a rectangle is:

V = length × width × height

SO;

847.875 = (h + 2) (h+1) (h)847.875 = (h + 2) (h² + h)847.875 = h³ + 3h² + 2hh³ + 3h² + 2h - 847.875 = 0

Assuming h is the variable, then using h³ as a unit.

Then;

h(h + 1)(h + 2) - 847.875 = 0(h + 1)³ - h - 848.875 = 0h (h (h + 3) + 2) - 847.875 = 0

Finding the real roots of the above equation;

height = 8.5 inches

width = h + 1

width = 8.5 inches + 1

width = 9.5 inches

Length = w + 1

Length = 9.5 inches + 1

Length = 10.5 inches

Therefore, we can conclude that the height is 8.5 inches, the width is 9.5 inches and the length is 10.5 inches.

Learn more about the volume of a rectangle here:

link

Answer from: robert7248

length = 9.5 + 1 = 10.5 inches

height = 9.5 - 1 = 8.5 inches

width = 9.5 inches

Step-by-step explanation:

The questions want you to get the length, width and height of the cube.

let the width = y inches

length is 1 inch more than width . Therefore, length = y + 1

The width is 1 inch more than height. Therefore, height = y - 1

The formula volume for a cube = Length × breadth(width) × height

so, replacing your value in the formula;

volume = (y + 1) × y × (y-1)

recall the volume = 847.875

847.875 = y³ - y

Therefore y³- y - 847.875 = 0

solving the equation

(y²-1) × y = 847.875

y = 9.5

length = 9.5 + 1 = 10.5 inches

height = 9.5 - 1 = 8.5 inches

width = 9.5 inches

volume = 10.5 × 8.5 × 9.5 = 847.875 cubic inches

Answer from: Quest

my answer is$ 12

step-by-step explanation:

because 15 -2=12

Answer from: Quest

the line of

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