U5L6: Scaling Solids

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.

• surface area
• the square
• double

Tags

CCSS.7.G.B.6

The volume of the box, which determines how much ​ (a)   it can hold. The original box holds ​ (b)   of sugar. With ​ (c)   dimensions, the new box will hold ​ ​ (d)     cups of sugar. This demonstrates how changes in dimensions affect both surface area and ​ (e)   , with volume increasing more significantly.

• volume
• sugar
• 15 cups
• doubled

Tags

CCSS.7.G.B.6

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

• scale factor
• cube
• 3.5 cubed
• 428.75
• multiply

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

• original area
• the square of the scale factor of the sides
• 8

Tags

CCSS.7.G.A.1

• original area
• the square of the scale factor of the sides
• 6

Tags

CCSS.7.G.A.1

• dilation affects area
• square of that factor

Tags

CCSS.7.G.A.1