Question

A log of wood of dimensions 2mx20 cmx10 cm
is cut into small blocks of 10 cm x 5cm x 4cm.
How many blocks will be there in all? What will
be the total surface area of all these small blocks?​

Answer 1

Step-by-step explanation:

$solution. \\ \\ dimension \: of \: wood = \\ 2m \times 20cm \times 10cm \\ = 200cm \times 20cm \times 10cm \\ volume \: of \: wood = 200 \times 20 \times 10 {cm}^{3} \\ volume \: of \: blocks = 10 \times 5 \times 4 {cm}^{3} \\ \\ no.of \: blocks = \frac{200 \times 20 \times 10 {cm}^{3} }{10 \times 5 \times 4 {cm}^{3} } \\ \\ no.of \: blocks = 200 \\ \\ total \: surface \: area \: of \: blocks = \\ 2(lb + bh + hl)sq.unit \\ 2(10 \times 5 + 5 \times 4 + 4 \times 10) {cm}^{2} \\ 2 \times 110 {cm}^{2} \\ 220 {cm}^{2} \\ \\ total \: surface \: area \: of \: 1blocks = \\ 220 {cm}^{2} \\ surface \: area \: of 220\: blocks = 220 \times 200 = \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 44000 {cm}^{2}$