Question

Kyle has a large, cube-shaped terrarium for his iguana. He wants to cover the opening with a square screen. What are the dimensions, s, for the screen? V= 343 ft 3

(a) 7
(b) 9
(c) 11
(d) 13

Answer 1

The dimensions for the square screen to cover the cube-shaped terrarium with a volume of 343 ft³ should be 7 ft by 7 ft, which is the cube root of the volume.

Step-by-step explanation:

Kyle has a large, cube-shaped terrarium for his iguana with a volume of 343 ft³. To find the dimensions, s, for the square screen that will cover the opening, we need to calculate the cube root of the volume because the volume of a cube is given by V = s³, where s is the length of one side of the cube. The cube root of 343 ft³ is 7 ft, hence each side of the square screen must be 7 ft to cover the cube-shaped terrarium opening. Therefore, the correct dimension for the screen is option (a) 7 ft.