Question #137465

If three rectangular holes of 1.5m x 0.3m x 200mm are placed on
the wall,
1. How many cubic meters of concrete needed to build the wall?
2. What is the total volume of the rectangular solid holes?

Expert's answer

1mm=103m200mm=200×103m=0.2mThe total volume of therectangular solid holes islength×breadth×height=1.5m×0.3m×0.2m=0.09m3And the cubic meters of concreteneeded to build the wall is3×0.09m3=0.27m31\hspace{0.1cm} \textsf{mm} = 10^{-3}\hspace{0.1cm} \textsf{m}\\ 200\hspace{0.1cm}\textsf{mm} = 200 \times 10^{-3} \hspace{0.1cm}\textsf{m}= 0.2 \hspace{0.1cm}\textsf{m}\\ \therefore\textsf{The total volume of the}\\\textsf{rectangular solid holes is}\\ \textsf{length}\times \textsf{breadth}\times \textsf{height} =\\1.5\hspace{0.1cm}\textsf{m} \times 0.3\hspace{0.1cm}\textsf{m} \times 0.2 \hspace{0.1cm}\textsf{m} = 0.09 \hspace{0.1cm}m^3\\ \textsf{And the cubic meters of concrete}\\\textsf{needed to build the wall is}\\ 3 \times 0.09\hspace{0.1cm}m^3 = 0.27\hspace{0.1cm}m^3


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