Math Problem Statement

You’re helping build a new fish tank for your school. The tank is a rectangular prism with dimensions: 1.2m long, 0.5 wide, and 0.6m high. If 1 cubic meter of water equals 1000 litres, how many litres of water can the tank hold in volume

Solution

To calculate the volume of water the fish tank can hold, follow these steps:

1. Calculate the volume in cubic meters:

The formula for the volume of a rectangular prism is:

V=length×width×heightV = \text{length} \times \text{width} \times \text{height}

Substitute the given dimensions: V=1.2m×0.5m×0.6m=0.36m3V = 1.2 \, \text{m} \times 0.5 \, \text{m} \times 0.6 \, \text{m} = 0.36 \, \text{m}^3

2. Convert cubic meters to liters:

Since 1m3=1000liters1 \, \text{m}^3 = 1000 \, \text{liters}: 0.36m3×1000=360liters0.36 \, \text{m}^3 \times 1000 = 360 \, \text{liters}

Final Answer:

The tank can hold 360 liters of water.

Would you like a breakdown of related concepts, or have any questions? Here are 5 follow-up questions:

  1. What would the tank's volume be if it were resized to twice its height?
  2. How would the volume change if the tank's width increased by 20%?
  3. How much water would the tank hold if only 90% of it were filled?
  4. How would the capacity change if the tank were a cube with the same base area?
  5. If 1 liter of water weighs 1 kg, what would the total weight of the filled tank be?

Tip: Always remember to check unit conversions when dealing with volume and capacity to avoid errors!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Volume Calculation
Unit Conversion

Formulas

Volume of a rectangular prism: V = length × width × height
Unit conversion: 1 cubic meter = 1000 liters

Theorems

-

Suitable Grade Level

Grades 5-7