Answer:
Remember the formula for calculating volume is: Volume = Area by height. V = A X h.
For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.
So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.
Step-by-step explanation:
Answer:
O.Length of time you have walked and distance you have traveled.
O.Pounds of cherries you buy and amount of money you spend on cherries.
O.Number of people in a grocery check-out line and how long you have to wait to check out
Step-by-step explanation:
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The length side AB is 64 ft , Option D is the correct answer.
<h3>What is a Right triangle ?</h3>
A triangle that has one angle 90 degree is called Right angled Triangle.
From the figure it can be seen that
The triangle CDE is a right Triangle
Applying Pythagoras theorem to find the length of CE
CE² = 12² + 16²
CE = 20 ft
As both the triangles are similar therefore the ratio of the sides will be equal
BC : CD = AC : CE
48 / 12 = AC / 20
AC = 80ft
As Triangle ABC is also a right angled triangle
Applying Pythagoras theorem to find the length of AB
AC² = BC² +AB²
6400 = 48² +AB²
AB² = 4096
AB = 64 ft
Therefore Option D is the correct answer.
To know more about Right Triangle
brainly.com/question/6322314
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A) Scale factor:
Divide 2 congruent sides:
24 / 36 = 0.667
From PQR to XYZ is a 0.667 (2/3 as a fraction) scale factor.
B) Volume = (1/2 x base x side) x height:
Volume = 1/2 * 36 x 48 = 864 * 15 = 12,960 cubic inches.
C) Find the height of the prism:
7776 = (1/2 * base * sides) x height
7776 = (1/2 x 36 x 48) * height
7776 = 864 * height
Height = 7776 / 864 = 9 inches.
The scale factor is 2/3, the height of XYZ = 2/3 *9 = 6 inches.
Volume of XYZ = 1/2 x 24 x 32 = 384 x 6 = 2,304 cubic inches.
