The length of a hall is 18 m and width 12m. The sum of the areas of the floor and flat roof is equal to the sum of the areas of the four walls. find the height and volume of the hall?
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area of floor and roof is equal
so,
area of floor and roof = area of four wall
2 ( length × breadth ) = 2 ( length + breadth ) × height
2 ( 18m × 12m ) = 2 ( 18m + 12m ) × height
2 × 216m² = 2 × 30m × height
432m² = 60m × height
432m² / 60m = height
7.2 m = height
therefore,
height = 7.2m
volume of the hall = length × breadth × height
volume of the hall = 18m × 12m × 7.2m
volume of the hall = 1555.2 m³
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