Calculate the ratios of surface area to volume. which is higher? consider the following properties of two cubes of different sizes: cube a cube b length = 2 cm length = 5 cm surface area = 24 cm2 surface area = 150 cm2 volume = 8 cm3 volume = 125 cm3 calculate the ratios of surface area to volume. which is higher? cube a, surface area/volume = 8 cm3; cube b, surface area/volume = 125 cm3; b is higher cube a, surface area/volume = 24 cm2; cube b, surface area/volume = 150 cm2; b is higher cube a, surface area/volume = 8: 24; cube b, surface area/volume = 125: 150; b is higher cube a, surface area/volume = 3: 1; cube b, surface area/volume = 1.2: 1; a is higher

Cube A with ratio area/ vol  = 3 has bigger ratio than Cube B ( 1.272)

Step-by-step explanation:

Cube A length  = 2 cms   the cube has 6 faces, and each has 4 cm²

Total area = 6 * 4  = 24 cm²

Vol = 2 * 2 *2  = 8  cm³

Surface area / Volume   24/8 = 3

Cube B length  = 5 cms   the cube has 6 faces, and each has 25 cm² Total area = 6 * 25  = 150 cm²

Vol = 5 * 5 * 5 = 125 cm³

Surface area / Volume = 150/125  = 1.272

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places