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A small indoor green house (herbarium) i...

A small indoor green house (herbarium) is made entirely of glass panes (including base) held together with tape. The dimensions of the green house are `40cm xx 30cm xx 25cm`. Find:
the area of the glass used

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To find the area of the glass used in the greenhouse (herbarium), we need to calculate the total surface area of the cuboid. The dimensions of the greenhouse are given as: - Length (l) = 40 cm - Breadth (b) = 30 cm - Height (h) = 25 cm ### Step-by-step Solution: 1. **Identify the formula for the total surface area of a cuboid**: The total surface area (SA) of a cuboid is given by the formula: \[ SA = 2(lb + lh + bh) \] where: - \( l \) = length - \( b \) = breadth - \( h \) = height 2. **Substitute the values into the formula**: Now, substituting the given dimensions into the formula: \[ SA = 2(40 \times 30 + 40 \times 25 + 30 \times 25) \] 3. **Calculate each term inside the parentheses**: - First term: \( 40 \times 30 = 1200 \) - Second term: \( 40 \times 25 = 1000 \) - Third term: \( 30 \times 25 = 750 \) 4. **Add the results from step 3**: Now, add these values together: \[ 1200 + 1000 + 750 = 2950 \] 5. **Multiply by 2**: Finally, multiply the sum by 2 to find the total surface area: \[ SA = 2 \times 2950 = 5900 \text{ cm}^2 \] ### Final Answer: The area of the glass used in the greenhouse is \( 5900 \text{ cm}^2 \). ---
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