Question

the volume of a room is 5,526 cubic feet. if 4.5 btus per cubic foot are required to heat this room, how many total btus are needed?
a 24,867
b 1,228
c 614
d 409\frac{1}{3}
e 5,521.5

Explanation:

Step1: Identify the operation

We need to find the total BTUs required, which is the volume of the room (in cubic feet) multiplied by the BTUs per cubic foot. So we use multiplication: \( \text{Total BTUs} = \text{Volume} \times \text{BTUs per cubic foot} \).

Step2: Plug in the values

The volume is 5,528 cubic feet and the BTUs per cubic foot is 4.5. So we calculate \( 5528 \times 4.5 \).

Step3: Perform the multiplication

First, convert 4.5 to a fraction: \( 4.5=\frac{9}{2} \). Then \( 5528\times\frac{9}{2} = \frac{5528\times9}{2} \). Calculate \( 5528\div2 = 2764 \), then \( 2764\times9 = 24876 \)? Wait, no, wait the options: A is 24,867? Wait maybe I misread the volume. Wait the problem says "the volume of a room is 5,528 cubic feet. If 4.5 BTUs per cubic foot are required to warm this room, how many total BTUs are needed?" Wait maybe a typo? Wait no, let's recalculate: 5528 4.5. Let's do 5528 4 = 22112, 5528 0.5 = 2764, then 22112 + 2764 = 24876. But the option A is 24,867. Wait maybe the volume is 5,526? Wait no, the user's image: "the volume of a room is 5,528 cubic feet" – maybe a typo in the problem, but assuming the numbers are correct, or maybe I misread. Wait the options: A is 24,867. Wait maybe 5526 4.5? 55264=22104, 55260.5=2763, sum is 24867. Ah, maybe the volume is 5,526. So with 5526 * 4.5:

5526 4.5 = 5526 (9/2) = (5526/2)9 = 27639 = 24867. So the correct answer is A.

Answer:

A. 24,867