Question

Mr. Jackson decides to build a planter in the shape of a cube for his wife. The top of the planter will be open so his wife can plant and water her flowers. The perimeter of the bottom of the planter is 12 feet.

Answer 1

45 feet

Step-by-step explanation: A cube is a regular solid with six square faces.

Square is a quadrilateral with 4 right angles and 4 equal sides. So a cube is solid formed by 6 squares.

Perimeter is the sum of all the sides. For a square, perimeter is given by

P = 4s

Then, side of the bottom is

s = 3

Area of a square is

A = 9

The planter is a cube with 5 faces, because the top is open. Then, total area is

45

Mr Jackson will need 45 square feet of material to build the planter.

Answer 2

The question is incomplete. Here is the complete question.

Mr. Jackson decides to build a planter in the shape of a cube fo rhis wife. The top of the planter will be open so his wife can plant and water her flowers. The perimeter of the bottom of the planter is 12 feet.

How many square feet of material does Mr Jackson need to build the planter?

(a) 27 square feet

(b) 45 square feet

(c) 60 square feet

(d) 720 square feet

Answer: 45 square feet

Explanation: A cube is a regular solid with six square faces.

Square is a quadrilateral with 4 right angles and 4 equal sides. So a cube is solid formed by 6 squares.

Perimeter is the sum of all the sides. For a square, perimeter is given by

P = 4s

Then, side of the bottom is

`s=(P)/(4)`

`s=(12)/(4)`

s = 3

Area of a square is

`A=s^(2)`

`A=3^(2)`

A = 9

The planter is a cube with 5 faces, because the top is open. Then, total area is

`A_(t)=9+9+9+9+9`

`A_(t)=` 45

Mr Jackson will need 45 square feet of material to build the planter.