If your neighbor's house is 2/8 smaller than you house and the volume dimensions of your house are 13, 26 and 130 sq ft, what is the volume of your neighbor's house
To find the volume of your neighbor's house, we need to first calculate the volume of your house and then determine the size difference between the two.
1. Calculate the volume of your house:
The volume of a rectangular prism (your house) can be determined by multiplying the length, width, and height together. In this case, the dimensions are given as 13 ft, 26 ft, and 130 sq ft. So, the volume of your house can be calculated as follows:
Volume = Length x Width x Height
Volume = 13 ft x 26 ft x 130 ft
Volume = 43960 cubic ft
2. Determine the size difference:
According to the given information, your neighbor's house is 2/8 smaller than your house. To find the size difference, we need to calculate 2/8 of your house's volume and subtract it from the volume of your house:
Size Difference = (2/8) x Volume of your house
Size Difference = (2/8) x 43960 cubic ft
Size Difference = 10990 cubic ft
3. Calculate the volume of your neighbor's house:
To find the volume of your neighbor's house, we need to subtract the size difference from the volume of your house:
Volume of Neighbor's House = Volume of your house - Size Difference
Volume of Neighbor's House = 43960 cubic ft - 10990 cubic ft
Volume of Neighbor's House = 32970 cubic ft
Therefore, the volume of your neighbor's house is 32970 cubic ft.