Question

Please Help..............................

Answer 1

Question 1:

 By definition, the surface area of a cube is given by:
 $A = 6L ^ 2$
 Where,
 L: length of the sides of the cube
 Since each side measures 2 centimeters, then we must substitute the value of L = 2 in the given equation.
 We have then:
 $A = 6 (2) ^ 2 A = 6 (4) A = 24cm ^ 2$
 Answer:
 The total surface area that will be painted is:
 $A = 24cm ^ 2$
 option 2.

 Question 2:
 By definition, the surface area of a rectangular prism is given by:
 $A = 2 (w * l) + 2 (w * h) + 2 (h * l)$
 Where,
 h: height
 l: length
 w: width
 Substituting values we have:
 $A = 2 * (5 * 4) + 2 * (5 * 2) + 2 * (2 * 4) A = 76 m ^ 2$
 Answer:
 The surface area of the rectangular prism is:
 $A = 76 m ^ 2$

 Question 3:
 By definition, the volume of a cube is given by:
 $V = L ^ 3$
 Where,
 L: length of the sides of the cube
 Substituting values we have:
 $V = 4.2 ^ 3$
 Making the corresponding calculation we have:
 $V = 74,088 in ^ 3$
 Answer:
 The volume of the cube is given by:
 $V = 74.1 in ^ 3$