Look at the following orthohedron:
The volume of the orthohedron is .
The length of the lateral edge is 4 meters.
What is the area of the base of the orthohedron?
(shaded orange in the diagram)
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Look at the following orthohedron:
The volume of the orthohedron is .
The length of the lateral edge is 4 meters.
What is the area of the base of the orthohedron?
(shaded orange in the diagram)
The formula for the volume of a box is height*length*width
In the specific question, we are given the volume and the height,
and we are looking for the area of the base,
As you will remember, the area is length * width
If we replace all the data in the formula, we see that:
4 * the area of the base = 80
Therefore, if we divide by 4 we see that
Area of the base = 20
20 cm²
A rectangular prism has a base measuring 5 units by 8 units.
The height of the prism is 12 units.
Calculate its volume.
Because the volume is given in cm³ and the height is in meters! You must use the same units throughout your calculation, or your answer will be wrong.
Think of it as Base Area × Height. The base area tells you the 'footprint' of the shape, and multiplying by height gives you the full 3D volume!
That's correct! When you have a large height (400cm) and moderate volume (80 cm³), the base area must be small to make the multiplication work out.
Absolutely! The volume formula can be rearranged:
Remember: 1 meter = 100 centimeters. So 4m = 4 × 100 = 400cm. Always multiply by 100 when converting meters to centimeters!
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