two cubes of volume 64 cm each are joined find newly formed cuboid surface area
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Answer:
Given:
⇒Volume of cubes = 64 cm
3
⇒(Edge)
3
=64
⇒Edge =4 cm
If cubes are joined end to end, the dimensions of the resulting cuboid will be
4 cm, 4 cm, 8 cm.
Surface area of cuboids =2(lb+bh+lh)
=2(4×4+4×8+4×8)
=2(16+32+32)
=2(16+64)
=2(80)=160 cm
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Step-by-step explanation:
Volume of cube = 64 cu.cm
Value of each side = 3√64
= 4cm
If they both are joined together, the length of resulting cuboid will get doubled , Therefore the Total surface area of cuboid = 2(lb+bh+lh)
(l is length , b is width , h is height)
Total surface area of this cuboid is =
2(4×8+4×4+4×8)
=2(32+16+32)
=2×80
=160sq.cm
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