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# A container 8cm high has a volume 60cm3. Find the volume of a similar container ...

### Question

A container 8cm high has a volume 60cm3. Find the volume of a similar container 40cm high.

A) 300cm3

B) 900cm3

C) 1200cm3

D) 7200cm3

### Explanation:

Volume = Area × Height
Area = $$\cfrac{\text{volume}}{\text{height}}$$
Area of first container = $$\cfrac{\text{Volume}}{\text{height}}$$
$$\cfrac{60\text{cm}^3}{8\text{cm}}$$ = 7.5cm2
Volume of similar container with height of 40cm
= (7.5 × 40)cm3 = 300cm3

## Dicussion (1)

• Volume = Area × Height
Area = $$\cfrac{\text{volume}}{\text{height}}$$
Area of first container = $$\cfrac{\text{Volume}}{\text{height}}$$
$$\cfrac{60\text{cm}^3}{8\text{cm}}$$ = 7.5cm2
Volume of similar container with height of 40cm
= (7.5 × 40)cm3 = 300cm3