The width of a box is two-third of it's length and height is one-third of it's length. If the volume of the box is 384 cubic meter, find the dimensions of the box.

Length = 12

Width = 8

Height = 4

Step-by-step explanation:

Let length of box = l

Width = 2/3 * l

Height = 1/3 * l

Volume of the box = 384 ft³

Volume = Length * width * height

Volume of box = l * 2/3 l * 1/3 l

384 = 2l³ / 9

384 * 9 = 2l³

3456 = 2l³

l³ = 3456 / 2

l³ = 1728

Take the Cube root of 1728

l = 12

Length = 12

Width = 2/3 * 12 = 8

Height = 1/3 * 12 = 4

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!