Praxis 5511 Practice Question

Violet has a flower box that has a rectangular base of 5 ft by 3 ft and a height of 2 ft. She wants to fill the flower box with potting soil. Potting soil is sold in bags that each contain 0.75 cubic feet of soil. How many bags of potting soil are needed to fill the flower box?

Correct Answer: D

Rationale: To determine how many bags of potting soil Violet needs, first calculate the volume of the flower box. The volume is found by multiplying the base area by the height: \(5 \, \text{ft} \times 3 \, \text{ft} \times 2 \, \text{ft} = 30 \, \text{cubic feet}\). Next, divide the total volume by the volume of one bag of soil: \(30 \, \text{cubic feet} \div 0.75 \, \text{cubic feet/bag} = 40 \, \text{bags}\).

Option A (24) underestimates the volume needed. Option B (27) also miscalculates the division of total volume by bag volume. Option C (36) fails to account for the total volume accurately. Thus, 40 bags are required to fully fill the flower box.

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