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2 cube each of volume 64cm3 are joined end to end . Find the surface area of the resulting cuboid

Posted by Ritesh Chaturvedi 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

? Pranali.A.P ? 5 years, 4 months ago

Given, 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 = 4cm.......... 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.......... ∴ The surface area of the resulting cuboid is 160 cm..........

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