Question

A water vendor has a water tank in his shop in the shape of a cube. The length of the tank is 4.92 m.

  1. Express the length of the tank in standard form
  2. Use the table of cubes to determine the volume of the tank


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Answer

Step 1: Express the length of the tank in standard form

We are given: Length of the tank = 4.92 m

To express this in standard form, write it as:

4.92 = 4.92 × 100 

But to use standard form properly, we express it as a number between 1 and 10 multiplied by a power of 10.

So:

4.92 = 4.92 × 100

This is already in standard form.


Step 2: Use the table of cubes to find the volume

The volume  V of a cube is given by:

𝑉 = length 3 

We are given:

Length = 4.92 m

Using a table of cubes, find:

4.923 = 119.318

(You can confirm this from a cube table or calculator.)


Final Answers:

Length in standard form: 4.92 × 10m

Volume of the tank: 119.318 m 3


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