Question

Joe bought a 1kilogram block of cheese that was 12cm x10cm x 8cm.
When he needed to use it, he found mould on each face of the block. To remove the moul, joe cut 1cm thick slice from each face. What was the mass of the remaining block of cheese, in grams?

Answer 1

still dont understand

Answer 2

Cutting off a 1cm slice on each face would change the dimensions of the block to 10cm x 8 cm x 6cm

Answer 3

yep i know that part

Answer 4

11x9x7 ?

Answer 5

The original volume of the block is 12cm x 10cm x 8cm = 960 cubic cm. The new volume is 10cm x 8cm x 6cm = 480 cubic cm

Answer 6

As he cuts slices on all 6 sides, all of them decrease by two rather than one. Try drawing it or simply picturing it in your head

Answer 7

the answer is 500 but its not matching up to 480 as you say?

Answer 8

Anyway, the ratio of the original volume to the "new" is equal to 960/480=2. The density doesn't change, so just divide the original mass by the ratio of the original volume to the new volume to get the new mass, like this \[M _{2} = M_1\div \left( V _{1 /V_2 } \right)\]

Answer 9

So firstly, convert kilograms into grams

Answer 10

Then simply divide by 2 and there's your answer :)

Answer 11

Do you understand?

Answer 12

no

Answer 13

i undersstand to divide by 2 to get 480, but the answer is 500 not 480. so how do we get 500?

Answer 14

Look, you divide 960 by 480 whis is equal to 2. 2 is the ratio between them. The ratio between the original mass will and the new mass will be the same, so we divide the original; 1kg by 2 which is equal to 0.5kg. Only thing left is to convert it to grams. How many g are 0.5kg?

Answer 15

480 is the new volume, not the mass