Two cubes of side 4 cm are joined together find the total surface area of new solid formed

Given:

Side of cube = 4 cm 

Formula used:

Surface area of cuboid = 2(LB + BH + LH)

Where L is the length of the cuboid, B is the breadth of is cuboid and H is the height of the cuboid.

Calculation:

After joining all four cube the figure formed which is cuboid

⇒ L = 16 cm, B = 4 cm, and H = 4 cm

Surface area of cuboid = 2(LB + BH + LH)

⇒ 2(16 × 4 + 4 × 4+ 16 × 4)

⇒ 2(64 + 16 + 64)

⇒ 2(144) = 288

∴ The area of resulting figure is 288 cm2

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Step-by-step explanation : Two cubes, each of side 4 cm are joined end to end. Find the surface area of the resulting cuboid

Two cubes each of edge 4 cm are joined face to face. Find the surface area of the resulting cuboid.

Asked by Topperlearning User | 27 Jul, 2017, 02:37: PM

For the resulting cuboid:

b = 4 cm, l = 8 cm, h = 4 cm

Surface area = 2(lb + bh + lh)

= 2[8

= 160 cm2

Answered by | 27 Jul, 2017, 04:37: PM

When the two cubes are fixed together, the resulting solid is a cuboid.

Length of the cuboid, = 2 × edge of the cube = 2*4 = 8 cm

Breadth of the cube = 1 × edge of the cube = 4 cm

Height of the cube = 1 × edge of the cube = 4 cm

Total surface area of the cuboid = 2*(LB + BL + LH)

⇒ 2*(8*4 + 4*4 + 4*8)

⇒ 2*(32 + 16 + 32)

⇒ 2*80

⇒ 160 sq cm

So, the total surface area of the cuboid is 160 sq cm