The surface area of a right rectangular prism is the sum of the areas of all six faces of the prism. To calculate the total surface area, you must calculate the area of each face, and then you add all six areas together. Each face is a rectangle. As a shortcut, you really only need to find at most three areas since each two opposite faces are congruent rectangles and have equal areas. Since the area of a rectangle is length times width, and they are both measured in linear measurements, such are meters or feet, the area of each face is in square meters or square feet. The total area is also measured n square meters or square feet. If you are painting a room, including all walls, the floor and the ceiling, it would be helpful to know the total surface area to calculate the amount of paint needed. Also, if you are wrapping a box that is shaped like a right rectangular prism, the the total surface area will tell you how much area of wrapping paper you need.
The volume of a right rectangular prism is the amount of three-dimensional space it occupies. To calculate it, you multiply the length by the width by the height. Since length, width, and height are linear measures, with units such as meters or feet, the volume is a cubic measure measured in cubic meters or cubic feet. If you have a certain volume of an item that you need to put in a box, then by knowing how to calculate the volume of the box, you can tell what size box you will need.
The numerator of the fraction is the power of the number and the denominator is the root of the number. This is expressed as follows:
⁴√(3)³
Answer: radius = 47.8 inches
Step-by-step explanation:
An arc is a portion of the circumference of the circle. The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
θ = 60 degrees
Length of arc = 50 inches
Therefore,
50 = 60/360 × 2 × 3.14 × r
Cross multiplying by 360, it becomes
18000 = 376.8r
r = 18000/376.8
r = 47.8 inches
Answer: the perimeter is 214. AB's half is 32.5 and BC's whole is 65
Step-by-step explanation: 10x-5 and 12x-26 are equal, as shown by the marks on their lines, so we can set them equal to each other to solve for x. when solved x=7. then plug 7 into each equation to get 65. lastly add up 84+65+65 to get 214.
A translation 2 units to the left followed by dilation by 1/2.
The correct option is (B).
<h3>What is congruency?</h3>
It states that that two triangles are said to be congruent if they are copies of each other and when superposed, they cover each other exactly.
The complete question is:
Which of the following composition of transformations would create an
image that is not congruent to its original image?
A rotation of 45° followed by a reflection across the x-axis
A translation 2 units to the left followed by dilation by 1/2
A reflection across the y-axis followed by a rotation of 60°
A rotation of 135º followed by a translation of 4 units to the right.
After a translation of 2 units to the left followed by dilation by 1/2 the image will not be congruent to its original image.
All other options are reflection and rotation, which not fit into the situation.
Learn more about congruency here:
brainly.com/question/7888063
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