Final answer:
The volume of the storage shed is calculated by finding the area of the isosceles right triangular front and multiplying by the length of the shed. The correct volume is 5000 cubic feet, rather than the provided options which are an order of magnitude smaller.The correct option is C.
Step-by-step explanation:
To find the volume of the storage shed which has front and back shaped like isosceles right triangles, we need to firstly determine the area of the triangular front (or back). Since the shed's front is an isosceles right triangle with both legs being 10 ft, we can use the pythagorean theorem to find the hypotenuse, but since it's an isosceles right triangle, we won't need it to find the area. Instead, we can use the formula for the area of a triangle (A = 1/2 * base * height) where both the base and height are 10 ft.
A = 1/2 * 10 ft * 10 ft = 50 square feet.
Considering the length (depth) of the shed to be 100 feet as provided, the volume of the shed is found by multiplying the cross-sectional area by the length. This is given by V = A * l.
V = 50 square feet * 100 ft = 5000 cubic feet.
Therefore, the options provided (A-D) are incorrect since the correct volume of the shed is 5000 cubic feet, not considering the fact that they give values an order of magnitude smaller than the actual volume.