Question

Coach Geisler has asked Jacoby to calculate how much sod should be purchased to replace the old grass on the soccer field so that Coach Alas will have a winning team this year. Jacoby asked Nelson and Khadijah to help him out since they have sharp Math skills. The three found that 7∗10³ pieces of sod would cover one square meter. The surface area of the L.C. Swain Soccer field is about 3∗10⁶ square meters. About how many pieces of sod will Mr. Thomas need to order to cover the entire field?

Answer 1

To cover the L.C. Swain Soccer field, Coach Geisler needs to order 21×10¹ pieces of sod, calculated by multiplying 7×10³ (pieces per square meter) by 3×10¶ (total area in square meters).

Step-by-step explanation:

To find out how many pieces of sod Coach Geisler needs to order to cover the entire L.C. Swain Soccer field, we must multiply the number of pieces that cover one square meter by the total area of the soccer field.

Jacoby found that 7×10³ pieces of sod would cover one square meter, and the field's area is 3×10¶ square meters. Performing the calculation gives us the total pieces needed:

• Number of pieces per square meter = 7×10³
• Total area of the soccer field in square meters = 3×10¶
• Total pieces of sod needed = 7×10³ × 3×10¶

The multiplication of these two numbers is:

Total pieces of sod needed = 21×10¹ (× 7×3 = 21, and 10³×10¶ = 10¹)

Thus, Coach Geisler needs to order 21×10¹ pieces of sod to cover the soccer field.