Question

2 cubes of each if volune 64cm3 are joined end to end find the surfaces areavif thebresulting cuboid

Answer 1

Answer:

160cm².

Step by step explanation:

Given,

➡️ volume of both cubes=64cm^3

➡️ volume of cube =a^3

So,

64 => ?

64=a^3

=> (4)^3=a^3

a=4

▪️ We know that, when two cubes are joined they form cuboid.

➡️ length of cuboid=4+4=8cm

➡️ breadth of cuboid=4cm

➡️ height of cuboid=4cm

➡️ surface area of cuboid=2(lb+bh+hl)

➡️ 2(8×4+4×4+4×8)

➡️ 2(32+16+32)

➡️ 2(80)

➡️ 160cm^2

⬛️ Therefore, Surface area of Cuboid is 160 cm².

Answer 2

ANSWER:---------

{volume of each cube is 64 cm³}

{⇒s³=64}

{⇒s=∛64}

{⇒s=4 cm.}

{When two cubes are joined , }

{the length of the resulting cuboid(l) = side + side = 4+4 = 8 cm}

{its breadth(b) = side = 4cm}

{And its height(h) = side = 4c}

{Total surface area of a cuboid = 2(lb+bh+hl)}

[⇒TSA=2[(8)(4)+(4)(4)+(4)(8)]

{⇒TSA=2(32+16+32)}

[⇒TSA = 2(80)}

{⇒TSA = 160 cm²]

NOTE={∴}{ The surface area of the resulting cuboid is 160 cm².}

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