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6 cubes. each of edge 4 cm. are joined end to end. What is the total surface area of the resulting cuboid?
208 cm2
496 cm2
576 cm2
416 cm2
To find the total surface area of the cuboid formed by joining 6 cubes, each with an edge of 4 cm, consider the following:
- Volume Arrangement: Each cube has a volume of 4 cm×4 cm×4 cm. Joining 6 cubes end to end forms a cuboid with dimensions: 24 cm×4 cm×4 cm.
- Formula for Surface Area: The surface area (A) of a cuboid is given by: 2(lw+lh+wh).
- Apply the Formula: Calculate as follows:
- l=24 cm,w=4 cm,h=4 cm
- A=2(24×4+24×4+4×4)
- A=2(96+96+16)=2×208=416cm2
- Options:
- Option 1: 208 cm2
- Option 2: 496 cm2
- Option 3: 576 cm2
- Option 4: 416 cm2 (Correct Answer)
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