Help please I will mark as BRAINLIEST

Problem 9

1 liter = 1000 cubic cm

The base of the carton has area 50 cm^2, or 50 square cm.

Let A = 50 to represent the area.

The height h is unknown. It multiplies with the value of A to get the volume

V = A*h

1000 = 50*h

50h = 1000

h = 1000/50

h = 20

The carton is 20 cm tall

Problem 10

Part (a)

This 3D configuration will allow us to fit 2*3*2 = 12 dice in total

12 dice will fit

Part (b)

The box has volume 5*4*7 = 140 cubic cm

Each die has volume 2*2*2 = 8 cubic cm. There are 12 dice we can fit in, so 12*8 = 96 cubic cm is the amount of volume taken up by the dice

We have 140-96 = 44 cubic cm of empty air left over.

44 cubic cm

Problem 11

1 liter = 1000 cubic cm

8 liters = 8000 cubic cm

So he has 8000 cubic cm of soil

The volume of the cube is

(22.5)^3 = (22.5)*(22.5)*(22.5) = 11,390.625 cubic cm

He won't have enough soil to completely fill the cube shaped planter

We can be able to determine this by recalling that 2^3 = 8, so (20)^3 = 8000. Meaning that a cube shaped planter of sides 20 cm will lead to a volume of 8000 cubic cm. Anything over 20 cm will lead to a larger volume.

So in short, spotting the 22.5 being larger than 20 is a quick way to know that the planter has more volume compared to the amount of soil he has.

He won't have enough soil to completely fill the planter

Which of them do you want us to answer.

15

step-by-step explanation: