Question

the volume of a cube is 8 a cubic units if three such identical cubes are stocked what is the total surface area of the cuboid formed​

Answer 1

Given:

The volume of the cube is 8 cubic unit

To find:

The total surface area of the cuboid formed

Solution:

We have given the volume of the cube as 8

and we have the formula for the volume of the cube as

Volume  = a³

• a³ = 8
• a³ = 2³

so the edge of the cube is 2 unit

according to the condition of the question, three cubes are attached together to form a cuboid

so the measurement of the cuboid are:

• Length = 2+2+2 = 6 unit
• Breadth = 2 unit
• Height = 2 unit

The total surface area of the cuboid is

• 2(lb+bh+lh)
• 2(6×2+2×2+6×2)
• 2(12+4+12)
• 2×28

• 56 sq. unit

The total surface area of the cuboid formed is 56 sq. unit