Given the cuboid of the figure:
The area of the base of the cuboid is 15 cm²,
The length of the lateral edge is 3 cm.
what is the volume of the cuboid
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Given the cuboid of the figure:
The area of the base of the cuboid is 15 cm²,
The length of the lateral edge is 3 cm.
what is the volume of the cuboid
To calculate the volume of a cuboid we need the length, width, and height.
It is important to note that in the exercise we are given the height and the base area of the cuboid.
The base area is actually the area multiplied by the length. That is, it is the data that contains the two pieces of information we are missing.
Therefore, we can calculate the area by height * base area
15*3 = 45
This is the solution!
45 cm²
A rectangular prism has a base measuring 5 units by 8 units.
The height of the prism is 12 units.
Calculate its volume.
Volume measures how much space an object fills. When you stack layers of the base area on top of each other (height times), you're multiplying the area by how many layers high it goes.
Area uses square units (cm², m²) for flat surfaces, while volume uses cubic units (cm³, m³) for 3D space. Notice how cm² × cm = cm³!
This formula works for all prisms (shapes with the same cross-section throughout). For other shapes like spheres or cones, you need different formulas.
First calculate the base area by multiplying length × width, then multiply by height. It's the same process, just with an extra step!
Check that your answer has cubic units (cm³, not cm² or cm). Also, volume should be larger than the base area when height is greater than 1.
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