A filling cabinet is 35 centimeters by 70 centimeters by 115 centimeters. The bottom drawer is 30% of the volume of the filling cabinet. What is the volume of the bottom drawer?
V = 0.3(35*70*115)
To find the volume of the bottom drawer, we first need to calculate the volume of the filing cabinet. The volume of a rectangular cuboid can be found by multiplying its length, width, and height.
Given:
Length = 35 centimeters
Width = 70 centimeters
Height = 115 centimeters
Volume of the filing cabinet = Length × Width × Height
Volume = 35 cm × 70 cm × 115 cm
Now, let's calculate the volume of the filing cabinet:
Volume = 269,500 cubic centimeters
Since the bottom drawer is 30% of the volume of the filing cabinet, we can calculate the volume of the bottom drawer by multiplying the volume of the filing cabinet by 30%.
Volume of the bottom drawer = 269,500 cubic centimeters × 30%
To calculate 30% of the volume of the filing cabinet, we convert the percentage to a decimal by dividing it by 100:
Volume of the bottom drawer = 269,500 cubic centimeters × 0.30
Now, let's calculate the volume of the bottom drawer:
Volume of the bottom drawer = 80,850 cubic centimeters
Therefore, the volume of the bottom drawer is 80,850 cubic centimeters.
To find the volume of the bottom drawer, we need to first calculate the volume of the filling cabinet, and then determine 30% of that volume.
The volume of a rectangular prism (like a filing cabinet) can be found by multiplying its length, width, and height. In this case, the measurements are given as 35 centimeters by 70 centimeters by 115 centimeters.
So, the volume of the filing cabinet is:
Volume = Length x Width x Height
= 35 cm x 70 cm x 115 cm
Next, we need to calculate 30% of the volume of the filing cabinet. To calculate 30% of a value, we multiply the value by 0.30 or divide by 10 and then multiply by 3. In this case, we can multiply the volume of the filing cabinet by 0.30:
Volume of Bottom Drawer = Volume of Filing Cabinet x 0.30
So, to find the volume of the bottom drawer, we can plug in the values:
Volume of Bottom Drawer = (35 cm x 70 cm x 115 cm) x 0.30
Now, we can calculate the final answer by multiplying the dimensions of the filing cabinet and 0.30:
Volume of Bottom Drawer = 35 cm x 70 cm x 115 cm x 0.30
Simplifying this calculation will give you the volume of the bottom drawer.