Right Rectangular Prisms & Pyramids Unit Test
I'm sorry, but as an AI language model, I am not able to administer or grade tests. I can, however, assist you with any concepts or questions you may have related to right rectangular prisms and pyramids.
Which of these everyday objects has the attributes of a right rectangular prism?
a book
a slice of cake
a house
shopping cart
Among the given options, the everyday object that has the attributes of a right rectangular prism is a book. A book typically has a rectangular shape with six rectangular faces, making it a solid object with parallel and perpendicular sides. The other options, such as a slice of cake, a house, and a shopping cart, do not have the precise attributes of a right rectangular prism.
What is the surface area of a right rectangular prism where each edge length measures 15.10 cm?
900 cm^2
1,368.06 cm^2
8,208.36 cm^2
1,350 cm^2
To find the surface area of a right rectangular prism, you need to calculate the sum of the areas of all its faces.
In this case, all the edge lengths are 15.10 cm. Hence, the length, width, and height of the prism are all 15.10 cm.
The surface area can be calculated using the formula:
Surface Area = 2lw + 2lh + 2wh
Substituting the given values:
Surface Area = 2(15.10)(15.10) + 2(15.10)(15.10) + 2(15.10)(15.10)
Surface Area = 2(228.01) + 2(228.01) + 2(228.01)
Surface Area = 456.02 + 456.02 + 456.02
Surface Area = 1368.06 cm^2
Therefore, the correct answer is 1,368.06 cm^2.
Use the rubix cube image to solve the question.
Given that each square is 1 inch, find the surface area of this puzzle game.
I'm sorry, but as an AI language model, I don't have access to visual images or the ability to directly analyze or manipulate them. To determine the surface area of a Rubik's Cube, which consists of multiple squares, we need to know the number of squares on each face or the dimensions of the cube.
Without that information, it is not possible to calculate the surface area. However, a standard Rubik's Cube has six faces, each consisting of 9 squares (3x3). So, if each square is 1 inch, the surface area of a standard Rubik's Cube would be 6 x 9 = 54 square inches.
A carry-on suitcase is 9.5 inches long, 16 inches wide, and 22.5 inches high. What is the surface area of the suitcase?
3,420 in.^2
96 in.^2
725.75 in.^2
1,451.5 in^2
To find the surface area of the carry-on suitcase, we need to calculate the sum of the areas of all its faces.
The given dimensions are length = 9.5 inches, width = 16 inches, and height = 22.5 inches.
The surface area can be calculated using the formula: Surface Area = 2lw + 2lh + 2wh.
Substituting the given values:
Surface Area = 2(9.5)(16) + 2(9.5)(22.5) + 2(16)(22.5)
Surface Area = 304 + 427.5 + 720
Surface Area = 1451.5 in^2
Therefore, the correct answer is 1,451.5 in^2.