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Answer :
Final answer:
The volume of the stone building is 33.77 cubic meters. The total area of the slate roof is 18.2 square meters.
Explanation:
To calculate the volume of the stone building, we multiply its height, width, and depth. In this case, the volume is 4.3m x 3.5m x 2.2m = 33.77 cubic meters.
To calculate the total area of the slate roof, we need to find the area of each side and add them up. The area of each side is the width multiplied by the length, which gives us 3.5m x 2.6m = 9.1 square meters. Since there are two sides, the total area of the slate roof is 9.1 square meters x 2 sides = 18.2 square meters.
For part a, to calculate the volume of the stone outbuilding, we use the formula for the volume of a rectangular prism, which is length x width x height,. Therefore, volume = 4.3 m (height) x 3.5 m (width) x 2.2 m (depth) = 32.97 m³ rounded to 2 decimal places.
For part b, to calculate the total area of its slate roof, we use the formula for the area of a rectangle, which is length x width. We can consider the roof as two rectangles. Therefore, the total area = 2 (2.6 m (length of the roof) x 3.5 m (width of the roof)) = 18.2 m², rounded to 2 decimal places.
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