Question

1. 2 cubes each of volume 64 cm are joined end to end. Find the surface area of the
resulting cuboid.
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Answer 1

Answer:

area of resulting cuboid = 160

Answer 2

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Given:

• The Volume (V) of each cube is = 64 cm³.

This implies that a³ = 64 cm³

Therefore, a = 4 cm

Now,

The side of the cube = a = 4 cm

Also, the length and breadth of the resulting cuboid will be 4 cm each. While its height will be 8 cm.

So, the surface area of the cuboid = 2(lb + bh + lh)

= 2(8×4 + 4×4 + 4×8) cm²

= 2(32 + 16 + 32) cm²

= (2 × 80) cm²

= 160 cm²

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