Find the square root of 784 using prime factorization.
2 answers:
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1. First, we are going to find the area of the sheet of plywood. The sheet of plywood is a rectangle, so to find its area, we can use the formula for the area of a rectangle: 
where
is the area
is the width
is the length
We can infer from our problem that the width of the plywood's sheet is 24 inch and the length is 48 inch, so
and 
. Lets replace those values in our formula:
square inches
Next, we are going to find the surface area birdhouse. The birdhouse is a rectangular prism with 5 inches width, 5 inches length, and 8 inches height, so we can use the formula for the surface area of a prism:
where
is the surface area
is the width
is the length
is the height
We already know those values, so lets replace them:
square inches
Since 210 square inches is less than 1152 square inches, we can conclude that Kali has enough plywood to build the birdhouse.
2. We know that there are 144 in^2 in 1 ft^2; those are a lot of square inches! We also know that the surface area of Kali's birdhouse is 210 in^2. Since there are a lot more than 210 square inches in 32.5 square feet, we can conclude that he has more than enough painting to paint his bird house.
where
We can infer from our problem that the width of the plywood's sheet is 24 inch and the length is 48 inch, so
Next, we are going to find the surface area birdhouse. The birdhouse is a rectangular prism with 5 inches width, 5 inches length, and 8 inches height, so we can use the formula for the surface area of a prism:
where
We already know those values, so lets replace them:
Since 210 square inches is less than 1152 square inches, we can conclude that Kali has enough plywood to build the birdhouse.
2. We know that there are 144 in^2 in 1 ft^2; those are a lot of square inches! We also know that the surface area of Kali's birdhouse is 210 in^2. Since there are a lot more than 210 square inches in 32.5 square feet, we can conclude that he has more than enough painting to paint his bird house.