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Answer :
Answer:
1) Option C - 39 inches
2) Option C - 12167 cubic feet
Step-by-step explanation:
1) Given : Joy knits a square blanket that has an area of 1,500 square inches
To find : What is the approximate length for each side of the blanket.
Solution: Area of square = 1500 square inches
Let the side of the blanket = s
Formula of area of square is [tex]A= s^2[/tex]
[tex]1500= s^2[/tex]
[tex]s= \sqrt{1500}[/tex]
[tex]s=38.7[/tex]
Approximately Side of blanket = 39 inches
Therefore, Option C is correct.
2) Given : Jeff is an architect and is drawing the plan for a room addition for a client. If the shape of the room is a cube.
To find : what is the volume in cubic feet if the length is 23 feet?
Solution: Length of side of a cube (a)= 23 feet
Let the volume of a cube = V
Formula of Volume of cube is [tex]V= a^3[/tex]
[tex]V= (23)^3[/tex]
[tex]V= 12167[/tex]
Volume of a cube = 12167 cubic feet
Therefore, Option C is correct.
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The approximate length for the blanket is given as 27 inches. Option B
The volume of the room addition is 12167 cubic feet (option C)
How to solve for the volume
Let's solve each problem:
1. Side length = √(Area)
Side length = √(1500 square inches)
Side length ≈ √(25 * 60) square inches
Side length ≈ 5√60 inches
This can be simplified further, but as an approximate answer, the length of each side is approximately 27.39 inches.
Approximately B.27 inches
2. Volume = (Side length)³
Volume = (23 feet)³
Volume = 12,167 cubic feet
So, the volume of the room addition is 12167 cubic feet (option C).
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