Question

The ratio of side lengths for two similar cubes is 2/5.

Determine the ratios for each of the following.

the perimeter of one face of the smaller cube compared to the perimeter of one face of the larger cube

the total surface area of the smaller cube compared to the total surface area of the larger cube

the volume of the smaller cube compared to the volume of the larger cube

Answer 1

#1

Perimeter=4a

Find ratio

• 4(2)/4(5)
• 8/20
• 2/5
• 2:5

Samd

#2

TSA=6a²

• 6(2)²/6(5)²
• 4/25
• 4:25

#3

Volume=a³

• 2³/5³
• 8/125

Answer 2

Step-by-step explanation:

ratio of two cubes: 2 : 5

Perimeter of one face of cube: 4 × side

For small cube: 4 × 2 = 8

For big cube: 4 × 5 = 20

Ratio of perimeter of one face: 8 : 20 = 2 : 5

Total surface area of cube: 6a²

For small cube: 6(2)² = 24

For big cube: 6(5)² = 150

Ratio of total surface area: 24 : 150 = 4 : 25

Volume of cube: a³

For small cube: (2)³ = 8

For big cube: (5)³ = 125

Ratio of volume: 8 : 125