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

Question

Mathematics

Amie

24 January, 10:47

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

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Esmeralda Craig · Answer 1

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