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Two Cubes, Each of Volume 512 Cm3 Are Joined End to End. Find the Surface Area of the Resulting Cuboid.

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प्रश्न

Two cubes, each of volume 512 cm3 are joined end to end. Find the surface area of the resulting cuboid.

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उत्तर

Given that

Volume of cube = `512 cm^3`

⇒`"side"^3= 512`

⇒`"side"^3=8^3`

⇒`"side"^3 = 8cm`

Dimensions of new cuboid formed

`l=8+8=16 cm,b= 8cm,h=8cm`

`"Surface area"= 2(lb+bh+hl) `

`2[16(8)+8(8)+16(8)]=2[256+64]`

`= 640cm^2`

`∴"Surface area is  640cm"^2`

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अध्याय 18: Surface Areas and Volume of a Cuboid and Cube - Exercise 18.2 [पृष्ठ ३०]

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आर.डी. शर्मा Mathematics [English] Class 9
अध्याय 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.2 | Q 7 | पृष्ठ ३०

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