Two identical cubes each of volume 64 cm³ are joined together end to end. What is the surface area of the resulting cuboid

Solution:

Given, two identical cubes are joined together end to end.

The volume of each cube = 64 cm³

We have to find the surface area of the resulting cube.

Volume of the cube = a³

Given, a³ = 64

Taking cube root,

a = 4 cm

When two cubes are joined together, we get a cuboid.

Length of cuboid = 4 + 4 = 8 cm

Breadth of cuboid = 4 cm

Height of cuboid = 4 cm

Surface area of cuboid = 2(lb + bh + hl)

= 2[(8 × 4) + (4 × 4) + (4 × 8)]

= 2[32 + 16 + 32]

= 2(80)

= 160 cm²

Therefore, the surface area of the resulting cuboid is 160 cm²

✦ Try This: Two identical cubes each of volume 216 cm³ are joined together end to end. What is the surface area of the resulting cuboid?

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 13

NCERT Exemplar Class 10 Maths Exercise 12.3 Problem 5

Two identical cubes each of volume 64 cm³ are joined together end to end. What is the surface area of the resulting cuboid

Summary:

Two identical cubes each of volume 64 cm³ are joined together end to end. The surface area of the resulting cuboid is 160 cm²

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