A carton in the shape of a cube measuring 8 inches tall is filled with colored plastic cubes measuring 1 inch across each face. The cubes sell for 25¢ each. How much would it cost to buy all of the cubes in the carton? Enter your answer in the box.

Volume of a Cube = a³ ( a x a x a)
A = 8. 8³ = 8 x 8 x 8 = 512.
The cubes are one inch across so. 1 x 1 x 1 = 1.
512 x 0.25 = 128.
It would cost $128 to buy all the cubes.
Hope this helps!

Answer Link

ashishdwivedilVT ashishdwivedilVT · Answer 2 · 2022-03-04T06:04:57+01:00

the total cost to buy all the cubes in the carton will be 12800¢.

let us say the total number of smaller cubes be 'n' with side 'a'.

it is given that each side of a larger cube=8 inches.

each side of a smaller cube= 1 inch.

what is the volume of a cube?

the volume of a cube with side 'a' is a³.

from the question,

we can say that,

the volume of larger cube=sum of the volume of smaller cubes

[tex]8^{3} = n*(1)^3[/tex]

n=512

so, total number of smaller cubes = 512

selling price of each cube = 25¢

total sellling price = 25*512¢ = 12800¢

hence, the total cost to buy all the cubes in the carton will be 12800¢.

to get more about the volume of a cube refer to the link,

https://brainly.com/question/25248189