A box 48 cm by 48 cm by 36 cm high is made of wood .5 cm thick. If the box has no lid, find the volume of wood used in making the box.
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To find the volume of wood used in making the box, we need to subtract the volume of the empty space inside the box from the volume of the outer dimensions of the box.
The outer dimensions of the box are given as 48 cm by 48 cm by 36 cm. However, the wood used to make the box is 0.5 cm thick all around, so we need to subtract twice the thickness of the wood from each dimension.
First, let's calculate the thickness of the wood on each dimension:
- Length: Subtracting twice the thickness of wood from 48 cm, we get 48 cm - 2 * 0.5 cm = 47 cm.
- Width: Subtracting twice the thickness of wood from 48 cm, we get 48 cm - 2 * 0.5 cm = 47 cm.
- Height: Subtracting twice the thickness of wood from 36 cm, we get 36 cm - 2 * 0.5 cm = 35 cm.
Now, let's calculate the volume of the empty space inside the box:
- Volume of the inner empty space = Length * Width * Height = 47 cm * 47 cm * 35 cm.
Finally, subtract the volume of the empty space from the volume of the outer dimensions to find the volume of wood used in making the box:
- Volume of wood used = Outer volume - Inner volume
= (48 cm * 48 cm * 36 cm) - (47 cm * 47 cm * 35 cm).
By calculating this expression, we can find the volume of wood used in making the box.
the inside volume is 48*48*36
The outside volume is 49*49*36
subtract to find the wood.