Question

Chin-Mae has a fishtank that measures 75 cm by 45 cm by 35 cm. He also has a jug that holds 1.75 litres. He uses the jug to fill the fishtank with water. How many full jugs of water does it take to fill the fishtank? Show how to check your answer. ​

Answer 1

Key Concepts

Converting between cm³ and mL

• 1 cm³ = 1 mL

Finding the volume of rectangular prisms

To find the volume of a rectangular prism, we can use the following formula:

$V=lwh$

• l = length
• w = width
• h = height

Converting between mL and L

1000 mL = 1 L

Solving the Question

We're given:

• Fish tank measurements: 75 cm by 45 cm by 35 cm
• Jug capacity = 1.75 L

To solve this question, we could follow these steps:

1. Find the volume of the tank
2. Divide the volume of the tank by the jug capacity

Find the volume of the tank

$V=lwh$

⇒ Plug in the measurements: 75 cm by 45 cm by 35 cm
$V=75*45*35\\V=118125$

• Therefore, the volume of the tank is 118125 cm³.

Divide the volume of the tank by the capacity of the jug

There is a relationship between cm³ and mL, not cm³ and L. Convert the 1.75 L for the jug capacity to mL:

1.75 × 1000

= 1750

118125 ÷ 1750

= 67.5

Answer

It takes 68 full jugs of water to fill the tank.