what is the surface area of a right rectangular prism whose each edge length measures 15.10 cm
A.1,350 cm^2
B.900 cm^2
C.1,368.06 cm^2
D.8,208.36 cm^2
To find the surface area of a rectangular prism, we need to find the area of each face and add them together.
In a right rectangular prism, there are 6 faces: 3 pairs of congruent rectangular faces.
The area of each rectangular face is given by the formula: length x width.
Since each edge length measures 15.10 cm, the length and width of each rectangular face are both 15.10 cm.
Therefore, the area of each face is 15.10 cm x 15.10 cm = 228.01 cm^2.
Since there are 6 faces, the total surface area of the rectangular prism is 6 x 228.01 cm^2 = 1368.06 cm^2.
Therefore, the correct option is C. 1,368.06 cm^2.
given that each square is 1 inch find the surface area of this puzzle game
A.54 cm^2
B.18 in.^2
C.9 in.^2
D.54 in.^2
To find the surface area of the puzzle game, we need to find the area of each face and add them together.
Each square in the puzzle game is 1 inch by 1 inch.
Since there are 6 faces in a cube, the surface area is found by multiplying the area of one face by 6.
The area of one face is 1 inch x 1 inch = 1 square inch.
Thus, the surface area of the puzzle game is 1 square inch x 6 = 6 square inches.
Therefore, the correct option is D. 54 in.^2
a carry-on suitcase is 9.5 inches long, 16 inches wide, and 22.5 inches high what is the surface area od the suitcase
A.3,420 in.^2
B.725.75 in.^2
C.1,451.5 in.^2
D.96 in.^2
To find the surface area of the suitcase, we need to find the area of each face and add them together.
The suitcase has 6 faces: 2 rectangles for the front and back, 2 rectangles for the sides, and 2 rectangles for the top and bottom.
The area of a rectangle is found by multiplying the length by the width.
The front and back rectangles have dimensions 9.5 inches by 22.5 inches, so their combined area is 9.5 inches x 22.5 inches = 213.75 square inches.
The side rectangles have dimensions 16 inches by 22.5 inches, so their combined area is 16 inches x 22.5 inches = 360 square inches.
The top and bottom rectangles have dimensions 9.5 inches by 16 inches, so their combined area is 9.5 inches x 16 inches = 152 square inches.
Adding up the areas of all 6 faces, we have:
213.75 square inches + 213.75 square inches + 360 square inches + 360 square inches + 152 square inches + 152 square inches = 1452.5 square inches.
Therefore, the correct option is C. 1,451.5 in.^2
find the surface surface area of a rectangular pyramid with these measurements: l =15 cm, w =12 cm, and h = 10 m. express your answer as a decimal rounded to the nearest hundredth
To find the surface area of a rectangular pyramid, we need to find the area of each face and add them together.
The rectangular pyramid has 5 faces: 1 rectangular base and 4 triangular faces.
The area of the rectangular base is found by multiplying the length by the width: 15 cm * 12 cm = 180 cm^2.
The area of each triangular face is found by multiplying half the base (length) by the height: (1/2) * 15 cm * 10 cm = 75 cm^2.
Since there are 4 triangular faces, their combined area is 4 * 75 cm^2 = 300 cm^2.
Adding up the areas of all 5 faces, we have:
180 cm^2 + 300 cm^2 = 480 cm^2.
Therefore, the surface area of the rectangular pyramid is 480 cm^2, rounded to the nearest hundredth.
So, the answer is approximately 480.00 cm^2.
what is the surface area of a square pyramid where the base edge is 1.5 cm and the slant height is 4 cm? Round your answer to the nearest hundredth
To find the surface area of a square pyramid, we need to find the area of each face and add them together.
The square pyramid has 5 faces: 1 square base and 4 triangular faces.
First, let's find the area of the base. Since it's a square, the area is found by squaring the length of one of its sides. In this case, the base edge is given as 1.5 cm, so the base area is (1.5 cm)² = 2.25 cm².
Next, let's find the area of each triangular face. The formula for the area of a triangle is (1/2) * base * height. In this case, the base is the same as the base edge of the square, which is 1.5 cm. The height is given as the slant height, which is 4 cm. Plug these values into the formula to get the area of each triangular face: (1/2) * 1.5 cm * 4 cm = 3 cm².
Since there are 4 triangular faces, their combined area is 4 * 3 cm² = 12 cm².
Now, let's add up the areas of all 5 faces to find the total surface area of the square pyramid:
Base area + Triangular faces area = 2.25 cm² + 12 cm² = 14.25 cm².
Therefore, the surface area of the square pyramid is approximately 14.25 cm², rounded to the nearest hundredth.
niko has an outdoor play tent in the form of a regular triangular pyramid covered in fabric on all four sides. The surface area of the tent is 100 ft.^2, the base is 6 ft., and the slant height is 8 ft. What is the height of the base to the nearest tenth
A.57.3 ft.
B.9.3 ft.
C.6.5 ft.
D.372 ft.