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When you triple the dimensions of a flat (2-dimensional) shape,

the area increases by (3)2 = 9 times.

When you triple the dimensions of a solid (3-dimensional) shape,

the volume increases by (3)3 = 27 times.

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Q: What happens to the area when you triple the dimensions to a shape?
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What is the area of 25m2?

The area of a shape is typically calculated by multiplying its length by its width. However, if you are given a measurement of 25m² without specifying the shape, it is not possible to determine the dimensions or shape of the area. In order to calculate the area, you would need additional information about the shape such as its length, width, radius, or other relevant measurements.


Is the area of one triangle a rational number or an irrational number Explain.?

The area of a triangle can be a rational number or an irrational number depending on its dimensions.


What are the new dimensions if a picture that measures 12 cm by 18 cm is enlarged to 4 times its area?

The new dimensions can be any length and any width that multiply to make 864. If you want to keep the same aspect ratio (shape), then the new dimensions are 24cm by 36 cm .


What is the total area with a base of 10 centimeters and a height of 7 centimeters?

A triangle with base 10cm and height 7 cm will have half the area of a parallelogram with the same dimensions. Since you have not disclosed the shape, it is not possible to answer the question.


What happens to the area of a figure when the scale of the figure changes?

To find the new area, you have to multiply the original area by the square of the scale change. For example, you have a rectangle with adjacent sides of 3 and 4. Another rectangle has the same dimensions but with triple the scale. The original rectangle's area is 12. Multiply that by 9, which is the square of the new scale, and you get an area of 108. That matches up with the area of the new rectangle, which has adjacent sides of 12 and 9.