What is the surface area of a right rectangular prism where each edge length measures 15.10 cm?(1 point)
Responses
900 cm2
900 cm squared
8,208.36 cm2
8,208.36 cm squared
1,350 cm2
1,350 cm squared
1,368.06 cm2
To find the surface area of a right rectangular prism, we need to find the area of each face and then add them together.
The area of the top and bottom faces is calculated by multiplying the length and width of the prism. In this case, since each edge length measures 15.10 cm, the length and width of the prism are both 15.10 cm. Therefore, the area of each top and bottom face is 15.10 cm × 15.10 cm = 228.01 cm².
The area of the front and back faces is also calculated by multiplying the length and width of the prism. In this case, since each edge length measures 15.10 cm, the length of the prism is 15.10 cm and the width is 15.10 cm. Therefore, the area of each front and back face is 15.10 cm × 15.10 cm = 228.01 cm².
The area of the left and right faces is calculated by multiplying the width and height of the prism. In this case, since each edge length measures 15.10 cm, the width and height of the prism are both 15.10 cm. Therefore, the area of each left and right face is 15.10 cm × 15.10 cm = 228.01 cm².
To find the total surface area, we add the areas of all the faces together: 2(228.01 cm²) + 2(228.01 cm²) + 2(228.01 cm²) = 8,208.36 cm².
Therefore, the surface area of the right rectangular prism with each edge length measuring 15.10 cm is 8,208.36 cm². So the correct answer is "8,208.36 cm²".
Given that each square is 1 inch, find the surface area of this puzzle game.
(1 point)
Responses
18 in.2
18 in. squared
9 in.2
9 in. squared
54 in.2
54 in. squared
54 cm2
To find the surface area of the puzzle game, we need to add up the areas of all the squares on the surface.
Given that each square is 1 inch, we can see that there are 18 squares on the surface. Therefore, the surface area of the puzzle game is 18 square inches.
Therefore, the correct answer is "18 in.2" or "18 in. squared".
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?(1 point)
Responses
1,451.5 in.2
1 comma 451 point 5 in. squared
96 in.2
96 in. squared
3,420 in.2
3 comma 420 in. squared
725.75 in.2
To find the surface area of the suitcase, we need to find the area of each of its six faces and then add them together.
The area of the top and bottom faces is calculated by multiplying the length and width of the suitcase. In this case, the length is 9.5 inches and the width is 16 inches. Therefore, the area of each top and bottom face is 9.5 inches × 16 inches = 152 square inches.
The area of the front and back faces is calculated by multiplying the length and height of the suitcase. In this case, the length is 9.5 inches and the height is 22.5 inches. Therefore, the area of each front and back face is 9.5 inches × 22.5 inches = 213.75 square inches.
Lastly, the area of the left and right faces is calculated by multiplying the width and height of the suitcase. In this case, the width is 16 inches and the height is 22.5 inches. Therefore, the area of each left and right face is 16 inches × 22.5 inches = 360 square inches.
To find the total surface area, we add the areas of all the faces together: 2(152 square inches) + 2(213.75 square inches) + 2(360 square inches) = 1,451.5 square inches.
Therefore, the surface area of the suitcase is 1,451.5 square inches. So the correct answer is "1,451.5 in.2" or "1,451.5 in. squared".
A gift box is being constructed in the shape of a right rectangular prism. The base is 15 inches squared and the height is 5 inches. What will the volume of the gift box be?(1 point)
The volume of a right rectangular prism can be calculated by multiplying the area of the base by the height.
In this case, the area of the base of the gift box is given as 15 inches squared, and the height is 5 inches.
Therefore, the volume of the gift box will be 15 inches squared * 5 inches = 75 cubic inches.
So, the volume of the gift box will be 75 cubic inches.