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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 length of the tape required

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The correct Answer is:
To find the length of the tape required to hold together the glass panes of the greenhouse, we need to calculate the total length of all the edges of the cuboid-shaped greenhouse. ### Step-by-Step Solution: 1. **Identify the Dimensions**: - Length (L) = 40 cm - Breadth (B) = 30 cm - Height (H) = 25 cm 2. **Count the Edges of the Cuboid**: A cuboid has 12 edges: - 4 edges of length (L) - 4 edges of breadth (B) - 4 edges of height (H) 3. **Calculate the Total Length of the Edges**: The total length of the tape required can be calculated using the formula: \[ \text{Total Length of Tape} = 4L + 4B + 4H \] 4. **Substitute the Values**: Substitute the values of L, B, and H into the formula: \[ \text{Total Length of Tape} = 4 \times 40 + 4 \times 30 + 4 \times 25 \] 5. **Calculate Each Term**: - Calculate \(4L\): \[ 4 \times 40 = 160 \text{ cm} \] - Calculate \(4B\): \[ 4 \times 30 = 120 \text{ cm} \] - Calculate \(4H\): \[ 4 \times 25 = 100 \text{ cm} \] 6. **Sum the Lengths**: Now, add all these lengths together: \[ \text{Total Length of Tape} = 160 + 120 + 100 = 380 \text{ cm} \] ### Final Answer: The length of the tape required is **380 cm**.
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