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Ann [662]
3 years ago
9

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

Mathematics
1 answer:
Xelga [282]3 years ago
8 0
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
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This choice of answer is confirmed by the fact that the other two (visible) choices say the same thing. If one of them is correct, so is the other one. Hence they must both be incorrect. (An obtuse angle is more than 90°.)

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