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Question

2cubes each of volume64cm3 are joined end to end. Find the surface area of the resulting cuboid.


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Solution

Step 1:Find the side of cube.

Volumeofcube=64cm3=Side3Side3=64Side=(64cm3)13=(2×2×2×2×2×2)13=2×2Side=4cm

Step 2:Find the surface area of the resulting cuboid.

Upon joining the two cubes the dimension of the cuboid will be,

Length=8cm, breadth=4cm, Height=4cm

Surfaceareaofcuboid=2(lb+bh+hl)=2(8×4+4×4+4×8)=2(32+16+32)=2(80)=160cm2

Hence, the surface area of the resulting cuboid is160cm2.


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