Use the formula for the surface area of a right rectangular prism to find the surface area of a shape with the following measurements: Length = 4.5 cm, width = 3.5 cm, and height = 2.5 cm.
35.75 cm^2
63 cm^2
71.5 cm^2
10.5 cm^2
The formula for the surface area of a right rectangular prism is:
Surface Area = 2(length * width + length * height + width * height)
Plugging in the given measurements:
Surface Area = 2(4.5 * 3.5 + 4.5 * 2.5 + 3.5 * 2.5)
Surface Area = 2(15.75 + 11.25 + 8.75)
Surface Area = 2(35.75)
Surface Area = 71.5 cm^2
Therefore, the surface area of the shape with the given measurements is 71.5 cm^2.
Correct Next question:
Use the formula to determine the surface area of a right rectangular prism where each edge length measures 12.75 cm.
Answers:
A: 975.38 cm^2
B: 5852.25 cm^2
C: 76.5 cm^2
D: 459 cm^2
To find the surface area of a right rectangular prism, you need to use the formula:
Surface Area = 2(length × width + width × height + height × length)
Let's plug in the given measurements:
Length = 4.5 cm
Width = 3.5 cm
Height = 2.5 cm
Surface Area = 2(4.5 × 3.5 + 3.5 × 2.5 + 2.5 × 4.5)
Calculating this expression, we get:
Surface Area = 2(15.75 + 8.75 + 11.25)
Surface Area = 2(35.75)
Surface Area = 71.5 cm^2
Therefore, the surface area of the shape with the given measurements is 71.5 cm^2. So the correct answer is 71.5 cm^2.
Next question:
find the surface area of a textbook that is 2 in. x 14 in. x 9 in.
Answers:
172 in ^2
50 in^2
344 in^2
252 in^2
The formula for the surface area of a right rectangular prism is:
Surface Area = 2(length * width + length * height + width * height)
Given that the textbook measures 2 in. x 14 in. x 9 in., the length is 14 in., the width is 9 in., and the height is 2 in.
Surface Area = 2(14 * 9 + 14 * 2 + 9 * 2)
Surface Area = 2(126 + 28 + 18)
Surface Area = 2(172)
Surface Area = 344 in^2
Therefore, the surface area of the textbook is 344 in^2.
The correct answer is option C: 344 in^2.
The formula for the surface area of a right rectangular prism is:
Surface Area = 2(length * width + length * height + width * height)
Given that each edge length measures 12.75 cm:
Surface Area = 2(12.75 * 12.75 + 12.75 * 12.75 + 12.75 * 12.75)
Surface Area = 2(163.0625 + 163.0625 + 163.0625)
Surface Area = 2(489.1875)
Surface Area = 978.375 cm^2
Therefore, the surface area of the right rectangular prism with each edge length measuring 12.75 cm is 978.375 cm^2.
None of the given answers matches the calculated surface area of 978.375 cm^2.