Scaling Solids

Find the surface area of the larger solid.

Enter a number only.

(a)  

What is the surface area of the larger solid?

What will the surface area of the smaller cone be? Enter a number only.

(a)  

Find the surface area of the larger pyramid.

Enter a number only.

(a)  

What is the area of the base in square units?

Match the following. A solid with a volume of 12 cubic units is dilated by a scale factor of $$k$$ to obtain a solid with volume $$V$$ cubic units. Find the value of $$k$$ units which results in an image with each given volume.

A solid with a volume of $$64$$ cubic units is dilated by a scale factor of $$k$$ to obtain a solid with volume $$1728$$ cubic units. Find the value of $$k$$ .

A solid with a surface area of $$36$$ square units is dilated by a scale factor of $$k$$ to obtain a solid with a surface area of $$1296$$ square units. Find the value of $$k$$ .

Kiran probably multiplied the volume by the ​ (a)   . He needs to ​ (b)   by the ​ (c)   of the scale factor.

​ (d)   times 10 = ​ (e)   cubic inches

When you ​ (a)   the dimensions of a rectangular prism, the ​ (b)   increases by a factor of 4. This is because the surface area is proportional to ​ (c)   of the dimensions. If the original box requires 2 ounces of paint, the new box will need ​ (d)   ounces of paint.