Jason is building models in the shape of rectangular prisms. The smaller model has a surface area of 35" sq. and a scale factor of 6. What is the surface area of the larger model?
wouldn't it be 35 sq inches * 6^2 ?
A gardener wants to fence the largest possible rectangular area using 200 yards of fenceing. Find the best length and width of the garden.
To find the surface area of the larger model, we can use the concept of scale factor. A scale factor is a ratio of the lengths of corresponding sides of two similar shapes.
In this case, the scale factor is given as 6, which means the larger model is 6 times bigger than the smaller model. Since the surface area is directly proportional to the square of the scale factor, we can find the surface area of the larger model by multiplying the surface area of the smaller model by the square of the scale factor.
Surface area of the smaller model = 35" sq.
Scale factor = 6
To find the surface area of the larger model:
Surface area of the larger model = (Surface area of the smaller model) * (Scale factor)^2
Plugging in the values:
Surface area of the larger model = 35" sq. * (6)^2
Calculating:
Surface area of the larger model = 35" sq. * 36
Therefore, the surface area of the larger model is 1,260 square inches.