Please help me! :(

Question

If you tried to smuggle gold bricks by filling your backpack, whose dimensions are 53 cm x 25 cm x 22 cm, what would its mass be?  

Answer 1

First, we must find the dimensions of a standard gold brick

7in long x 3.625in wide x 1.75in thick

Let's convert this into cm to make it uniform with our backpack dimensions.

7in x 3.625in x 1.75in = 17.78cm x 9.2075cm x 4.445cm

Next, find the volume of both.

V = L x W x H

53 * 25 * 22 = 29,150cm³

17.78 * 9.2075 * 4.445 = 727.688cm³

Now, divide the total space available by the space taken by one brick; this will give us how many bricks we can hold.

29,150 / 727.688 = 40.0583

Since a partial brick is impossible, let's round to 40

Finally, we take how many bricks and multiply it by the weight of one brick.

One brick is 27.5 pounds

40 * 27.5 = 1,100 total pounds.

Now, while it is possible to hold this many bricks in the bag, most likely no one can carry this weight at one time.