Understanding Plant Box Volume and Soil Requirements

The video tutorial explains how Donte can determine the height to fill his plant box with soil. It begins by calculating the total volume of the plant box, which is a right rectangular prism. The tutorial then finds one-third of this volume to determine the minimum soil requirement. By calculating the volume per inch of height, it explores different options for filling the box with soil, ensuring at least one-third of the box is soil. The tutorial concludes with two possible solutions for the soil height, either five or six inches, both satisfying the condition.

What is the primary purpose of the rocks at the bottom of Donte's plant box?

• To provide nutrients to the plants

• To improve the aesthetic of the box

• To aid in drainage

• To increase the weight of the box

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

What is the total volume of Donte's plant box?

• 576 cubic inches

• 72 cubic inches

• 192 cubic inches

• 300 cubic inches

Tags

CCSS.3.NF.A.2A

CCSS.3.NF.A.1

How much of the plant box's volume must be soil at a minimum?

• One-half

• One-fourth

• Two-thirds

• One-third

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

What is the volume of soil per inch of height in the plant box?

• 216 cubic inches

• 192 cubic inches

• 144 cubic inches

• 72 cubic inches

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

If Donte adds three inches of soil, what will be the total volume of soil added?

• 144 cubic inches

• 216 cubic inches

• 288 cubic inches

• 192 cubic inches

What is the maximum height Donte can fill the plant box with soil while still meeting the conditions?

• 7 inches

• 8 inches

• 5 inches

• 6 inches

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

How many cubic inches of soil does Donte have available?

• 300 cubic inches

• 216 cubic inches

• 192 cubic inches

• 288 cubic inches

Tags

CCSS.4.MD.A.2

What is the minimum height Donte should fill the plant box with soil to meet the one-third requirement?

• 6 inches

• 4 inches

• 3 inches

• 5 inches

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

If Donte fills the plant box to a height of 5 inches, how much soil will he use?

• 144 cubic inches

• 216 cubic inches

• 360 cubic inches

• 288 cubic inches

Tags

CCSS.2.MD.A.3

What is the correct answer for the Common Core assessment regarding the height Donte should fill the plant box with soil?

• 6 inches

• 5 inches

• Neither 5 nor 6 inches

• Both 5 and 6 inches

Tags

CCSS.2.MD.A.3