2 cubes each of volume 64 cm^{3} are joined end to end. Find the surface area of the resulting cuboids.

Math

Class 10

890

Qayanat

Emily

Answer / Solution

Answer / Solution

Given that, Volume of cubes = 64 cm^{3}. If we say that edge of the cube be x than (x)^{3} = 64 i.e. x = 4 cm.

Now, If cubes are joined end to end, the dimensions of the resulting cuboid will be **4 cm, 4 cm, 8 cm**.

We have the formula of to find the **surface area of a cuboid **is 2(lb + bh + hl)

= 2 (4 × 4 + 4 × 8 + 4 × 8)

= 2 (16 + 32 + 32)

= 2 × 80

= 160 cm^{2}

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