Question

two cubes each of volume 64 are joined end to end .
find the total surface area of the resulting cuboid .​

Answer 1

TSA = 2(lb + bh + hl)

= 2(8×4 + 4×4 + 4×8)

= 2(32 + 16 +32)

= 2 × 80

= 160 sq units

Answer 2

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The Volume (V) of each cube is = 64 cm^3

This implies that a^3 = 64 cm^3

∴ The side of the cube, i.e. a = 4 cm

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

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

Now, by putting the values, we get,

= 2(8×4 + 4×4 + 4×8) cm^2

= (2 × 80) cm^2

Hence, TSA of the cuboid = 160 cm^2

Hope it's Helpful.....:)