Question

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

Answer 1

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

Answer 2

#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