Calculating Plywood Pile Height in Metres

This question requires us to find the total height of a stack of plywood pieces by multiplying the number of pieces by the thickness of each piece and then converting the resulting height from centimetres to metres.

Steps to Calculate Plywood Pile Height

Here is how we calculate the total height of the plywood pile:

1. Determine the total thickness in centimetres.
2. Convert the total thickness from centimetres to metres.

Step 1: Calculate Total Thickness in Centimetres

We are given:

• Number of plywood pieces = 472
• Thickness of each piece = 0.23 cm

To find the total thickness of the pile, we multiply the number of pieces by the thickness of each piece:

Total thickness (cm) = Number of pieces $\times$ Thickness per piece

Total thickness (cm) = $472 \times 0.23$ cm

Let's perform the multiplication:

$472 \times 0.23 = 108.56$ cm

So, the total height of the pile is 108.56 centimetres.

Step 2: Convert Total Thickness from Centimetres to Metres

The question asks for the height in metres. We need to convert 108.56 cm to metres.

We know that:

1 metre = 100 centimetres

To convert centimetres to metres, we divide the value in centimetres by 100.

Total height (m) = Total thickness (cm) $\div 100$

Total height (m) = $108.56 \div 100$ m

Total height (m) = $1.0856$ m

The height of the plywood pile is 1.0856 metres.

Final Plywood Pile Height

Based on our calculation, the height of the pile when 472 pieces of plywood, each 0.23 cm thick, are stacked is 1.0856 metres.

Revision Table: Plywood Pile Measurement

Reviewing the key steps and values involved in calculating the plywood pile height:

• Identify the given quantities: number of pieces and individual thickness.
• Perform multiplication to find total thickness in the original unit (cm).
• Apply the correct conversion factor (1 m = 100 cm) to change the unit to the required one (m).
• Ensure the final answer is in the specified unit (metres).

Additional Information: Unit Conversion and Measurement

Understanding unit conversions is crucial in many practical calculations. The metric system, used here (centimetres and metres), is based on powers of 10, making conversions relatively straightforward. Converting a smaller unit (like cm) to a larger unit (like m) involves division, specifically by the conversion factor (100 in this case). Conversely, converting a larger unit to a smaller unit involves multiplication.

For example:

• To convert metres to centimetres, multiply by 100.
• To convert kilometres to metres, multiply by 1000.
• To convert millimetres to centimetres, divide by 10.

These conversions are essential for ensuring consistency in measurements and calculations in physics, engineering, and everyday life problems like calculating the height of a plywood pile.