Question

PLEASE HELP ASAP.

We will be gentle on grading this one because it is the first block (so effort counts!), but we want you to think through it and express your thoughts in writing. Your score on this question is going to come from how you explain your thinking. Imagine you have a wood block that is 4cm wide, 6cm long, and 10cm high. It weighs 100 grams. Now imagine that you are cutting this block into 2 exactly equal halves. How does the volume of the new half-blocks compare with the original block?

Answer 1

Volume of the original block (V) of length (l), width (w) and height (h) is given by the following equation

`V = l*b*h`

hence volume of original block, V = (6)(4)(10) =
`240 cm^(3)`

Now say we cut this block in two equal parts, than the length of new block will be
`6/2 = 3 cm` ; where as its width and height will be same as of original block i.e. 4 cm and 10 cm respectively.

So, Volume of half-block is
`= (3)(4)(10) = 120 cm^(3)` ; or we can say that the volume of half-block is half that of orignal block.