A planned building was going to be 100 feet long, 75 feet deep, and 30 feet high. The owner decides to increase the volume of the builing by 10% without changing the dimensions of the depth and the height.

What will be the new lenght of this building?

1 106 ft
2 108 ft
3 110 ft
4 112 ft

110

Well, the owner wants to increase the volume of the building, but without changing the depth and height. So the only way to increase the volume is by stretching it in the length department!

To calculate the new length, we need to figure out the original volume and then add 10% to it. The formula for volume is length times depth times height.

The original volume would be 100 ft * 75 ft * 30 ft = 225,000 cubic feet.

Now, let's add 10% to the original volume.

10% of 225,000 cubic feet is 22,500 cubic feet.

So the new volume would be 225,000 cubic feet + 22,500 cubic feet = 247,500 cubic feet.

Now we need to solve for the new length, while keeping the depth and height constant. Rearranging the volume formula, we can express the new length as:

new length = new volume / (depth * height)

Plugging in the values, we get:

new length = 247,500 cubic feet / (75 ft * 30 ft)
new length ≈ 110 ft.

So according to my calculations, the new length of this building would be 110 ft, which would be option 3.

To find the new length of the building, we first need to calculate the current volume and then determine the new volume.

The volume of the current building can be calculated using the formula: Volume = Length * Depth * Height.

Given:
Current Length = 100 ft
Current Depth = 75 ft
Current Height = 30 ft

Calculating the current volume:
Current Volume = 100 ft * 75 ft * 30 ft

To calculate the new volume, we need to increase the current volume by 10%. We can do this by multiplying the current volume by 1.10.

New Volume = Current Volume * 1.10

Now let's calculate the new length of the building. We can rearrange the formula for volume to solve for length:

Length = New Volume / (Depth * Height)

Substituting the values into the equation:

New Length = (New Volume) / (75 ft * 30 ft)

New Length = (Current Volume * 1.10) / (75 ft * 30 ft)

Calculating the new length:

New Length = (100 ft * 75 ft * 30 ft * 1.10) / (75 ft * 30 ft)

New Length = (100 ft * 1.10)

New Length = 110 ft

Therefore, the new length of the building will be 110 ft. Option 3 (110 ft) is the correct answer.

can you take 10% of 100 feet and add it on ?