A carpenter constructed a closed wooden box with internal measurements 1.5 metres long ,0.8 metres wide and 0.4 metres high . The wood used in constructing the box was 1.0cm thick and has a density of 0.6g/cm3.

[1]: volume in cm3 of wood used in consting the box.
2:mass of the box in kilo grams correct to 1dp

1: outer volume minus inner volume

... in cm ... (152 * 82 * 42) - (150 * 80 * 40)

2: wood volume multiplied by density

I think we start by the area of the box

draw a sketch.

top and bottome volume, each: (1.52 long )(.82 wide)*.01
front and back: (.82)(.4) (.01)each
ends, each; .4*.8*.01)

To find the volume of wood used in constructing the box, we need to calculate the volume of the box and subtract the volume of the empty space inside.

1. Calculate the volume of the box:
Volume = Length × Width × Height
Volume = 1.5 m × 0.8 m × 0.4 m

Since the measurements are given in meters, we need to convert them to centimeters:
1 meter = 100 centimeters

Volume = 150 cm × 80 cm × 40 cm
Volume = ...

To find the mass of the box, we'll calculate the mass of the wooden material used in constructing it:

2. Calculate the volume of the wooden material:
Volume = Length × Width × Thickness of wood used
Volume = 1.5 m × 0.8 m × 0.01 m

Again, we need to convert the measurements to centimeters:
Volume = 150 cm × 80 cm × 1 cm

Now that we have the volume of the wooden material, we can find its mass using the density:

Mass = Volume × Density
Mass = [volume in cm3] × 0.6 g/cm3

To convert the mass to kilograms, we divide by 1000:

Mass (in kilograms) = [mass in grams] ÷ 1000

Let's calculate the values:

1. Volume of wood used in constructing the box:
Volume = 150 cm × 80 cm × 40 cm = 480,000 cm3

2. Mass of the box:
Mass = (480,000 cm3) × 0.6 g/cm3 = 288,000 g
Mass (in kilograms) = 288,000 g ÷ 1000 = 288 kg (correct to 1 decimal place)