Solve the problem. Use 3.14 as the approximate value of $\pi$. Round to the nearest tenth unless instructed otherwise.
-The interior of a one story office building measures $51 \mathrm{ft}$ by $102 \mathrm{ft}$ and has $10 \mathrm{ft}$ ceilings. If $20 \%$ of the space is devoted to hallways, how many $2,000 \mathrm{ft}^{3}$ offices can it contain? Do not include partial offices.
A) 26 offices
B) Not enough information to solve.
C) 41,616 offices
D) 20 offices

Question

Quizplus · Accepted Answer

First, calculate the total volume of the building: $51 \times 102 \times 10 = 52,020 \, \text{ft}^3$. Since 20% is for hallways, 80% is for offices: $52,020 \times 0.8 = 41,616 \, \text{ft}^3$. Divide by the volume of one office: $41,616 \div 2,000 = 20.808$. Only whole offices count, so the answer is 20 offices.

Solve the Problem π\piπ Round to the Nearest Tenth Unless Instructed Otherwise

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