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The volume of a cuboid (a six sided 3D shape) is how much 'space' or 'room' it takes up. For a regular cuboid (where opposite sides are the same size) it is calculated by multiplying the length by the width by the depth. For example, A block measuring 3cm by 2cm by 5 cm would have the volume 3x2x5= 30cm3.

The surface area is the total external area of the shape. It is calculated by multiplying the height and width (surface area ) of each face and adding them together. For example a block measuring 3cm by 2cm by 5cm would have a surface area of

S A of face one= 3x2=6cm2

S A of face two=3x2=6cm2 (opposite end to face one)

S A of Face three=2x5=10cm2

S A of face four=2x5=10cm2 (opposite end to face three)

S A of face five=3x5=15cm2

S A of face six=3x5=15cm2(opposite end to face five)

total surface area = 6+6+10+10+15+15= 62cm2

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Related Questions

What has the same volume but different surface area?

This will usually be the case for objects that have different shapes: even if they have the same volume, it is unlikely that they have the same surface area. As an example, calculate the volume and surface area of the following two rectangular block shapes: 1) A 2 x 2 x 2 rectangular block 2) A 1 x 1 x 8 rectangular block


If you double the volume of a rectangular prism does its surface area double?

No.


Can two rectangular prisms have the same surface area but different volume?

Yes, they can. They can also have the same surface area, but different volume.


Is the volume of a rectangular prism squared or cubed?

The volume is cubed and the surface area is squared.


How is it possible for objects to have the same volume but different area?

Yes. A cube that is 2x2x2 has the same volume as a rectangular prism that is 1x2x4, which is 8. The surface area of the cube is 24 while the surface area of the rectangular prism is 28.


What is the volume of a rectangular prism if the surface area is 34?

To find the volume of a rectangular prism when given the surface area, we need more information than just the surface area. The surface area of a rectangular prism is calculated using the formula 2lw + 2lh + 2wh, where l, w, and h are the length, width, and height of the prism, respectively. Without knowing at least one of these dimensions, we cannot determine the volume of the prism.


Describe the dimensions of a rectangular prism with a volume of 80 and a surface area of less than 132?

5x4x4 Volume=80 Surface Area=112


What is the relationship between surface area and volume of a rectangular prism?

There is no direct relationship.


How is a rectangular pyramid and a rectangular prisims alike?

They are both 3 dimensional shapes having surface area and volume.


Do rectangular prisms with the same volume have the same surface area?

No, rectangular prisms with the same volume do not necessarily have the same surface area. The surface area depends on the dimensions of the prism, which can vary even if the volume remains constant. For example, a long, thin prism and a short, wide prism can both have the same volume but different surface areas. Thus, while volume is a fixed quantity, surface area can differ based on the specific dimensions used.


How can two rectangular prisms have the same surface area but different volumes?

Yes, they can. They can also have the same surface area, but different volume.


If two rectangular prisms have the same volume do they have the same surface area?

well, they can, but they dont have to be no. :)

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