Question

find the volume, lateral surface areas and the total surface areas of a cube each of whose edges measure :(i) 7m (ii)5.9 cm (iii) 8dm 5 cm​

Answer 1

Answer:

volume of cube = a×a×a. =7×7×7. =343. lateral surface area =4×a×a. =4× 7×7. =196. total surface area= 6×a×a. = 6×7×7. =294. volume of cube=a×a×a. =5.6×5.6×5.6. = 175.616. lateral surface area=4×a×a. = 4×5.6×5.6. = 125.44. total surface area = 6×5.6×5.6. =188.16. volume of cube= 85×85×85.

Answer 2

$\bf \underline{Given} :$

$\sf Edge \: of \: different \: cubes \: are :$

$\sf \implies (i) \: 7 \: metre$

$\sf \implies (ii) \: 5.9 \: cm$

$\sf \implies (iii) \: 8 \: dm \: 5 \: cm$

$\bf \underline{To \: find} :$

$\sf \implies Volume \: of \: cube$

$\sf \implies Lateral \: surface \: area \: of \: cube$

$\sf \implies Total \: surface \: area \: of \: cube$

$\bf \underline{\underline{Solution }}$

$\sf \implies (i) \: Edge \: of \: the \: cube = \: 7 \: metre$

Finding the volume of cube,

$\sf \implies \underline { {\sf Volume \: of \: cube = Side \times Side \times Side \: or \:( a )^{3}}}$

$\sf \implies 7 \times 7 \times 7$

$\sf \implies \boxed { \pink{\sf Hence, volume \: of \: cube = 343 \: m ^{3} }}$

Finding the LSA of cube,

$\sf \implies \underline{{\sf Lateral \: surface \: areas \: of \: cube = 4(a)^{2} }}$

$\sf \implies 4(7)^{2}$

$\sf \implies 4 \times 7 \times 7$

$\sf \implies \boxed { \pink{\sf Hence, lateral \: surface \: areas \: of \: cube = 196 \: m ^{2} }}$

Finding the TSA of cube,

$\sf \implies \underline{ {\sf Total \: surface \: areas \: of \: cube = 6(a)^{2} }}$

$\sf \implies 6(7)^{2}$

$\sf \implies 6 \times 7 \times 7$

$\sf \implies \boxed { \pink{\sf Hence, total \: surface \: areas \: of \: cube = 294 \: m ^{2} }}$

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$\sf For \: the\: 2nd\: and \:3rd\: answer\: see \:the\: attachments.$