Question

1) Find the ratio of surface area to volume for a cube with a volume of 64
cubic inches.

Answer 1

Answer : 1:5:1

Step by step explanation:


The formula for the volume of a cube is

V= a^3

a = is the length of a side
a= 3^ √V = 3^ √64 in ^3 = 4 inches

we know that each face of a cube is a square

A= a^2 = (4 in) ^2 = 16 in ^2

Surface area (SA) = 6 faces • 16 in ^2/ 1 face = 96 inches ^2

SA/ V = 96/64 = 1.5/1

Answer 2

Answer:Cube

Solve for surface area

A≈96in²

V Volume

64

in³

a

a

a

d

Using the formulas

A=6a2

V=a3

Solving forA

A=6V⅔=6·64⅔≈96in²

hope this helps

Explanation: