Answer:
Surface area of the smaller can = 32cm³
Step-by-step explanation:
Volume of the bigger can = 125cm³
Volume of the smaller can = 64cm³
Surface area of the smaller can = xcm³
Surface area of the larger can = 50cm³
V = s³
Volume of the bigger can = 125cm³
125 = s³
s = 3√125
s = 5 cm
Volume of the smaller can = 64cm³
64 = s³
s = 3√64
= 4
s = 4 cm
The ratio of sides of the smaller can to the larger can = 4 : 5
Surface area is a function of the square of the sides
smaller can = s²
= 4²
= 16
larger can = s²
= 5²
= 25
Surface area of the larger can= 50cm³
50 = 25x
x = 50/25
= 2
x = 2
Surface area of the smaller can = 16x
x = 2
Surface area of the smaller can = 16x
= 16 × 2
= 32 cm³
Surface area of the smaller can = 32cm³
