Question

ayan fills a planter with soil all the way to the top. the volume of the soil is exactly 10,000 cm³. what could be the shape of ayans planter?

Explanation:

Step1: Calculate the volume of each planter

The volume formula for a rectangular prism is \(V = l\times w\times h\).

• For the first planter: \(V_1=30\times30\times10 = 9000\mathrm{cm}^3\)
• For the second planter: \(V_2 = 30\times30\times15=13500\mathrm{cm}^3\)
• For the third planter: \(V_3=20\times20\times25 = 10000\mathrm{cm}^3\)
• For the fourth planter: \(V_4=20\times20\times20=8000\mathrm{cm}^3\)

Answer:

The planter with dimensions \(20\mathrm{cm}\times20\mathrm{cm}\times25\mathrm{cm}\) (the third one)