Jere on rakentanut suorakulmaisen särmiön muotoisen puulaatikon. Laatikon pituus on 1,6 m, leveys 140 cm ja korkeus 70 cm.Laatikon tilavuus on Vastaus .

Step 1: Break Down the Problem

To find the volume $V$ of the rectangular prism (wooden box), we need to apply the formula for the volume of a rectangular prism: $V = \text{length} \times \text{width} \times \text{height}$

Step 2: Relevant Concepts

First, we must ensure that all dimensions are in the same unit. The length is given in meters, while the width and height are given in centimeters. We will convert all measurements to meters.

• Length: $1.6 \, \text{m}$
• Width: $140 \, \text{cm} = 1.4 \, \text{m}$ (since $1 \, \text{m} = 100 \, \text{cm}$, thus $140 \, \text{cm} = \frac{140}{100}$)
• Height: $70 \, \text{cm} = 0.7 \, \text{m}$ (similarly, $70 \, \text{cm} = \frac{70}{100}$)

Step 3: Analysis and Detail

Now, we can substitute the converted dimensions into the volume formula: $V = 1.6 \, \text{m} \times 1.4 \, \text{m} \times 0.7 \, \text{m}$

Calculating step-by-step:

1. Calculate $1.6 \times 1.4$: $1.6 \times 1.4 = 2.24 \, \text{m}^2$
2. Then, multiply by $0.7$: $2.24 \, \text{m}^2 \times 0.7 \, \text{m} = 1.568 \, \text{m}^3$

Step 4: Verify and Summarize

The volume calculated is $1.568 \, \text{m}^3$. This result seems consistent given our multiplication.

Final Answer

The volume of the wooden box is $V = 1.568 \, \text{m}^3$.