Question

A cuboidal metal block of dimensions 2m*1m*1m weighs 400 kg. Find the weight of the block of the same metal of size 1m*1/2m*1/2m?

Answer 1

Volume of cuboid= 2m cube
specific weight= 400÷2 = 200 kg per m cube
Volume of block= 1/2 m cube
Weight= 1/4 × 200 = 50 kg

Answer 2

Answer:

50 kg

Step-by-step explanation:

Dimensions of cuboid = $2m\times1m\times1m$

So, volume of cuboid = $Length \times Width \times Height$

                                    = $2m\times1m\times1m$

                                    = $2m^3$

So, weight of 2 cubic m. metal = 400 kg

So, weight of 1 cubic m . = $\frac{400}{2} =200 kg$

Now we are given a block of dimensions $1m\times \frac{1}{2} m\times \frac{1}{2}m$

So, volume of block = $1m\times \frac{1}{2} m\times \frac{1}{2}m$

                                 = $\frac{1}{4}m^3$

Now weight of 1 cubic m.=200 kg

So, Weight of 1/4 cubic m. =  $\frac{1}{4} \times 200$

                                            = $50$

Hence the weight of the block is 50 kg.