A rectangular prism measures 225 inches by 315 inches by 2 inches. How many cubes with edge length 15 inch fit in the prism? Sho
1 answer:
Answer:
34 Cubes
Step-by-step explanation:
<u>Step 1: </u>Find the Volume of the Rectangular Prism
The dimensions of the rectangular prism are: 225 inches by 315 inches by 2 inches.
Volume of the Rectangular Prism = 225*315*2=141750 Cubic Inches
<u>Step 2:</u> Find the Volume of the Cube
Edge length of the cube, s=15 Inch
Volume of a Cube =
Volume==3375 Cubic Inches
<u>Step 3: </u>Determine how many cubes fit in the prism
To find out how many cubes fit in the rectangular prism, divide the volume of the rectangular prism by the volume of the cube.
Number of Cubes =Volume of the Rectangular Prism ÷ Volume of Cube
=141750 ÷ 3375
=34
34 Cubes will fit in the rectangular prism.
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Complete question :
The data below represents the number of customers at each Slurpee Sam's Spaghetti Shop. 24, 25, 29, 30, 31, 31, 32, 34, 34. Which box plot correctly summarizes the data?
Answer:
B
Step-by-step explanation:
BOX plots provide information about :
Minimum, Lower quartile, Median, Upper quartile and maximum value of a dataset.
Given the dataset :
24, 25, 29, 30, 31, 31, 32, 34, 34
Minimum value = 24 (Lowest value in the dataset)
First quartile (Q1) = 1/4(n+1)th term
Q1 = 1/4 * 10 = 10/4 = 2.5th term = (25+29)/2 = 27
Second quartile ; median (Q2) = 1/2(n+1)th term
Q2 = 1/2(n+1)th term = 1/2(10) = 5th = 31
Third quartile (Q3) = 3/4(n+1)th term
Q3 = 3/4(n+1)th term = 3/4(10) = 30/4 = 7.5th term = (7th +8th) term = (32 + 34) / 2 = 66/2 = 33
Maximum value = 34 (Highest value in the dataset)
First dot = minimum value
Last dot = maximum value
First line of box = QI
mid line = median
End line of box = Q3
