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Six cubes, each of edge 2 cm, are joined end to end. What is the total surface area of the resulting cuboid in cm2?
96
144
104
128
- You are joining six cubes, each with an edge length of 2 cm.
- When joined end to end, the resulting figure is a cuboid.
- The dimensions of the cuboid are:
- Length: \(6 \times 2 = 12\) cm,
- Width: 2 cm,
- Height: 2 cm.
- The surface area of a cuboid is calculated using the formula:
$$
\text{Surface Area} = 2(lw + lh + wh)
where \(l\), \(w\), and \(h\) are the dimensions of the cuboid.
- So, plug in the dimensions:
\text{Surface Area} = 2(12 \times 2 + 12 \times 2 + 2 \times 2) = 2(24 + 24 + 4) = 2 \times 52 = 104 \text{ cm}^2
- Let's check the options:
- Option 1: 96 cm\(^2\) - Too low.
- Option 2: 144 cm\(^2\) - Too high.
- ?? Option 3: 104 cm\(^2\) - Matches our calculation.
- Option 4: 128 cm\(^2\) - Too high.
By: santosh ProfileResourcesReport error
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