The surface area of a cuboid formed by joining two cubes of side ‘a’ face to face is __________

Solution:

If two cubes of side ‘a’ each are joined , the resultant cuboid will be of the following dimensions:

Length(L) = 2a

Breadth (B) = a

Height(H) = a

The surface area of the cuboid will be:

Surface Area = 2(LB + LH + HB)

Surface Area = 2 × (2a × a + 2a × a + a × a) = 2 × (2a² + 2a² + a² ) = 10a²

✦ Try This: The volume of a cuboid formed by joining two cubes of side ‘a’ face to face is __________.

If two cubes of side ‘a’ each are joined , the resultant cuboid will be of the following dimensions:

Length(L) = 2a

Breadth (B) = a

Height(H) = a

The volume of the cuboid will be:

Surface Area = L × B × H ) = 2a × a × a = 2a³

The volume of a cuboid formed by joining two cubes of side ‘a’ face to face is 2a³ .

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11

NCERT Exemplar Class 8 Maths Chapter 11 Problem 31

The surface area of a cuboid formed by joining two cubes of side ‘a’ face to face is _________

Summary:

The surface area of a cuboid formed by joining two cubes of side ‘a’ face to face is 10a²

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