Question

Sabrina is making a box in the shape of a cube with a side length of s. The volume of the box, s³, 27 ft³. Sabrina wants to completely cover two is 1,000 of the faces with labels.
Determine whether each statement is true.
Select True or False for each statement.
1
2
3
The length of one side of the box, s, iso ft. 3 10
True
False
The area of one face of the box, s², is ft².
True
False
1 The area of both labels on the box is 25 2 ft².
True
False
① The perimeter of one face of the box, 4s, is is ft.
True
False

Answer 1

Given s^3 = 27, s = 3 ft. Then one face area s^2 = 9 ft^2, two faces = 2·9 = 18 ft^2, and perimeter 4s = 12 ft.

So:
1) s = 3 ft — True.
2) s^2 = 10 ft^2 — False (s^2 = 9 ft^2).
3) Area of both labels = 25/2 ft^2 — False (2 faces = 18 ft^2).
4) Perimeter 4s = 12 ft — True.