Question 1:
For this case we have that by definition, the volume of a prism is given by:
[tex]V = a * b * c[/tex]
Where:
a: It is the long
b: It is the width
c: It is the height
According to the data we have:
[tex]a = 18m\\b = 9m\\c = 6m[/tex]
Substituting:
[tex]V = 18 * 9 * 6\\V = 972[/tex]
Thus, the volume of the building is[tex]972 \m ^ 3[/tex]
Answer:
Option B
Question 2:
For this case we have that by definition, the volume of a prism is given by:
[tex]V = a * b * c[/tex]
Where:
a: It's the long
b: It is the width
c: It is the height
According to the data we have:
[tex]a = 26in\\b = 14in\\c = 18in[/tex]
Substituting:
[tex]V = 26 * 14 * 18\\V = 6552[/tex]
Thus, the volume of the tank is [tex]6552 \in ^ 3[/tex]
Answer:
Option A
Question 3:
For this case we have that by definition, the volume of a cube is given by:
[tex]V = l ^ 3[/tex]
Where:
l: It's the side of the cube
According to the data we have that the cube side is 7.2ft.
Substituting we have:
[tex]V = (7.2) ^ 3\\V = 373.25[/tex]
Rounding off we have that the volume of the cube is [tex]373.25 \ ft ^ 3[/tex]
Answer:
Option B
Question 4:
For this case we have that by definition, the volume of a cube is given by the following formula:
[tex]V = l ^ 3[/tex]
Where:
l: It's the side of the cube
According to the data we have that the cube side is 4.5 yards.
Substituting we have:
[tex]V = (4.5) ^ 3\\V = 91.125[/tex]
Rounding off we have the cube volume is[tex]91.13 \ yd ^ 3[/tex]
Answer:
Option C
