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# Mathematics: Cuboid Formation with Equal Cubes

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@IntegratedAlgorithm

### Can the volume of a cylinder be calculated by multiplying the area of its base by its height?

No, because a cylinder has curved surfaces that affect the volume calculation differently.

### If two cuboids have the same volume, can they have different total surface areas?

Yes, because total surface area depends on the dimensions of the cuboid.

### What is used to calculate the total surface area of a cuboid?

The sum of areas of all its faces.

### Which shape could have the greatest surface area for a given volume?

<p>A tall and thin cylindrical shape.</p> Signup and view all the answers

### If a cuboidal box A has dimensions 3cm x 8cm x 20cm, and box B has dimensions 4cm x 12cm x 10cm, which box would be more economical to the company for packing biscuits?

<p>Box B</p> Signup and view all the answers

### Can two solid shapes with different volumes have the same total surface area?

<p>Yes, because total surface area depends on shape and dimensions, not volume.</p> Signup and view all the answers

### What formula can be used to find the lateral surface area of a cuboid?

<p>$2h(l + b)$</p> Signup and view all the answers

### If the lengths of the base and the height of a cuboid are interchanged, what will happen to the lateral surface area?

<p>Remain the same</p> Signup and view all the answers

### What is the total surface area of a cuboid equal to?

<p>Lateral surface area + 2 times the base area</p> Signup and view all the answers

### How is the lateral surface area of a cuboid related to its dimensions?

<p>Directly proportional to both length and width</p> Signup and view all the answers

### What formula can be used to find the total surface area of a cuboid?

<p>$2(h + l + b)$</p> Signup and view all the answers

### Can we say that the total surface area of a cuboid is always equal to its lateral surface area plus twice the base's area?

<p>No, only in some cases</p> Signup and view all the answers

### What is the formula to find the volume of a cuboid?

<p>$l \times b \times h$</p> Signup and view all the answers

### In the context of forming a cuboid with cubes, if the length is 4 and breadth is 3, what could be the possible value for height?

<p>5</p> Signup and view all the answers

### What is the special case of a cuboid where the length, breadth, and height are all equal?

<p>Cube</p> Signup and view all the answers

### If the base of a cuboid has an area of 20 square units and the height is 5 units, what is the volume of the cuboid?

<p>100 cubic units</p> Signup and view all the answers

### Which geometric property does a cube exhibit?

<p>All angles are right angles</p> Signup and view all the answers

### If a cuboid has dimensions of 6 cm, 4 cm, and 3 cm, what is its total surface area?

<p>$72 , cm^2$</p> Signup and view all the answers

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