Question

Han has 10 cubes, each 5 inches on a side. A) Find the total volume of Han’s cubes. Express your answer as an expression using an exponent. B) Find the total surface area of Han’s cubes. Express your answer as an expression using an exponent.

Answer 1

Answer:

A) Vol_10_cubes  = 2*(5^4) inch^3

B) Area_10_cubes = (2^2)*3*(5^3)  inch^2

Step-by-step explanation:

A)The volume of a cube, as all sides are equal:

Vol_cube = (side)^3

side = 5 inches

Vol_cube  = 5^3 inch^3

Since we have 10 cubes

10 = 2*5

Vol_10_cubes  = 2*(5^4) inch^3

B) A cube has six faces, each with area equal to its squared side

Area_cube = 6*(side)^2

Area_cube = 6*(5)^2  inch^2

Area_10_cubes = 2*5*6*(5)^2  inch^2

Area_10_cubes = (2^2)*3*(5)^3  inch^2