A manufacturer fills various size boxes with flour. Today, the boxes are 12 inches tall, 8 inches wide and 3 inches deep. They adjust the filling machine so it only fills the box until the product is 1.5 inch from the top of the box. How many cubic inches of flour will they save by not filling the box to the top?

Respuesta :

Answer:

They save 36in^3

Step-by-step explanation:

First do 12*8*3 to get 288 which is the volume of the box if it was full

now that is not the answer because the people are leaving the box 1.5 in empty from the top. This means that you would subtract 1.5 from 12 to get 10.5 because that is how tall the box is and then go ahead to multiply 10.5*3*8 to get 252.

This is also not the answer because you now need to subtract 252 from 288 to get 36 which is the amount of flour the manufacturer is saving.

therefore the answer is 36in^3 ( because volume is always written cubed)

The volume of flour saved is 144 cubic inches.

We have the dimensions of the box as -

Length (L) = 12 inches

Width (W) = 8 inches

Depth (H) = 3 inches

We have to find if the filling machine only fills the box until the product is 1.5 inch from the top of the box then how many cubic inches of flour they will save  by not filling the box to the top.

What is the formula to calculate the volume of a Cuboid with Length (L), width (w) and height (h) ?

The formula to calculate the volume of the cuboid is

Volume = L x w x h

In the question given to us - the height of the box is equal to its depth = 3 inches.

The volume of flour saved (V) = Volume of box - Volume of flour inside the box.

Let the height to which the flour is filled be ' x '. Then according to question -

Depth (h) - 1.5 = x

x = H - 1.5

x = 3 - 1.5

x = 1.5 inches

Substituting the values to find the flour saved -

V = LWH -LWx

V = LW(H - x)

V = 12 x 8 x 1.5

V = 96 x 1.5

V = 144 cubic inches

Hence, the volume of flour saved is 144 cubic inches.

Visit the link below to solve more questions on Volume of solid figures -

https://brainly.com/question/23118276

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