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Each office in the building shown in the graphic below is shaped like a cube and measures 14 feet on each side. There are 12 units in all. Find the volume of the whole office building. (Assume there is no basement.)
A. 2,352 cubic feet
B. 144 cubic feet
C. 2,744 cubic feet
7.GM.1.2 DOK 2
D. 32,928 cubic feet
7.GM.1.2 DOK2
2 A cloud travels at the rate of 
(3)/(4) of a mile in 
(1)/(2) of an hour. How many miles per hour does this translate to?
F. 
1(1)/(2) miles per hour
G. 
1(1)/(4) miles per hour

NO Calculator allowed for this section.\newlineEach office in the building shown in the graphic below is shaped like a cube and measures 1414 feet on each side. There are 1212 units in all. Find the volume of the whole office building. (Assume there is no basement.)\newlineA. 2,3522,352 cubic feet\newlineB. 144144 cubic feet\newlineC. 2,7442,744 cubic feet\newline77.GM.11.22 DOK 22\newlineD. 32,92832,928 cubic feet\newline77.GM.11.22 DOK22\newlineA cloud travels at the rate of \newline34\frac{3}{4} of a mile in \newline12\frac{1}{2} of an hour. How many miles per hour does this translate to?\newlineF. \newline1121\frac{1}{2} miles per hour\newlineG. \newline1141\frac{1}{4} miles per hour

Full solution

Q. NO Calculator allowed for this section.\newlineEach office in the building shown in the graphic below is shaped like a cube and measures 1414 feet on each side. There are 1212 units in all. Find the volume of the whole office building. (Assume there is no basement.)\newlineA. 2,3522,352 cubic feet\newlineB. 144144 cubic feet\newlineC. 2,7442,744 cubic feet\newline77.GM.11.22 DOK 22\newlineD. 32,92832,928 cubic feet\newline77.GM.11.22 DOK22\newlineA cloud travels at the rate of \newline34\frac{3}{4} of a mile in \newline12\frac{1}{2} of an hour. How many miles per hour does this translate to?\newlineF. \newline1121\frac{1}{2} miles per hour\newlineG. \newline1141\frac{1}{4} miles per hour
  1. Calculate Cube Volume: Calculate the volume of one office cube.\newlineVolume of a cube = side length×side length×side length\text{side length} \times \text{side length} \times \text{side length}.\newline14feet×14feet×14feet=2,744cubic feet14 \, \text{feet} \times 14 \, \text{feet} \times 14 \, \text{feet} = 2,744 \, \text{cubic feet} for one office.
  2. Calculate Total Volume: Calculate the total volume for all 1212 office cubes.\newlineTotal volume == volume of one cube ×\times number of cubes.\newline2,7442,744 cubic feet ×12=32,928\times 12 = 32,928 cubic feet.
  3. Calculate Cloud Speed: Calculate the speed of the cloud.\newlineSpeed = distancetime\frac{\text{distance}}{\text{time}}.\newline34\frac{3}{4} mile / 12\frac{1}{2} hour = 34×2=112\frac{3}{4} \times 2 = 1\frac{1}{2} miles per hour.

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