Question

how many wooden cubicle blocks of cyclone 30 cm can be cut from a log of wood of size 3 metre by 75 cm by 50 cm​

Answer 1

given :-

dimensions of the wooden lpg :-

length = 3m = 3 × 100 = 300cm

height = 75cm

breadth = 50cm

given side of the cubic block = 30cm

we have to find the no. of cubic blocks that can be cut from the wooden log.

no. of cubic blocks that can be cut from the wooden log = (volume of the wooden log)/(volume of the cubic block)

$\sf = \frac{300 \times 75 \times 50}{30 \times 30 \times 30} \\ \\ \small \sf = \frac{( \cancel{30 }\times \cancel{10}) \times ( \cancel3 \times 5 \times 5) \times (5 \times \cancel{10})}{ \cancel{30 }\times ( \cancel3 \times \cancel{10}) \times (3 \times \cancel{10})} \\ \\ \sf = \frac{5 \times 5 \times 5}{3} \\ \\ \sf = \frac{125}{3} \\ \\ \sf = 41.66 \: approx.$

hence, 41 cubic blocks can be cut from the wooden log