Question

A 4 cm edge cube is cut into small cubes each of edge 1 cm. calculate the total surface area of small cubes. also find the ratio of total surface area of large cube to that of the small cubes

Answer 1

hello frnd!

here's ur answer....

$given \: the \: edge \: of \: the \: cube \: is \: 4cm \\ \\ therefore \: tsa \: of \: the \: cube = 6 {a }^{2} \\ = 6 \times {4}^{2} \\ = 6 \times 16 \\ = 96 {cm}^{2} \\ \\ tsa \: of \: the \: cube \: (edge = 1cm) = 6 {a }^{2} \\ = 6 \times {1 }^{2} \\ = 6 \times 1 \\ = 6 {cm}^{2} \\ \\ ratio \: of \: the \: tsa \: of \: the \: big \: cube \: with \\ \: the \: tsa \: of \: the \: small \: cube = > \\ \\ 96 \: ratio \: 6 \\ 16 \: ratio \: 1 \\ \\ hope \: this \: helps......$

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Answer 2

HELLO DEAR,

we know that:-

T.S.A OF cube=6×side²

given that:-

edge of largest cube =4cm

then tsa= 6×4²

=> (6×16) cm²

and the edge of smaller cube is 1cm

then the TSA=6×1².

=> 6cm²

and the ratio of total surface area of large cube to that of the small cubes

$\frac{6 \times 16}{6} = 16:1$
I HOPE ITS HELP YOU DEAR,
THANKS