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Surface Areas and Volumes
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26/06/2021 1:37 pm
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2 cubes each of volume 64 cm3 are joined end to end. Find the surface area of the resulting cuboid.
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26/06/2021 1:41 pm
The Volume (V) of each cube is = 64 cm3
This implies that a3 = 64 cm3
∴ 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