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

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.

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

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

The volume (v) = 847.875 in³

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

SO;

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

Then;

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:

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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

look a the sides they are perpendicular