Damien has designed a sculpture to enter in an art show. The sculpture is a composite shape made from two square pyramids and is covered in pieces of mosaic tile. 22in 16in and 30in
What is the area of the sculpture that is covered in mosaic tile?
A.
1920.00 square inches
B.
1877.33 square inches
C.
2176.00 square inches
D.
3754.67 square inches
please help
whole quiz please
hello, I took a hit for the team and am here to help you all ^^ (I got an f lmao)
here are the correct answers:
Q1: b. 10,240 cubic feet
Q2: b. 640 cubic centimeters
Q3: d. 20,250 square yards
Q4: b. $2.71
Q5: a. 1920.00 square inches
Q6: a. V = 24 Γ 10
π
just what are 22in 16in and 30in the dimensions of? Base? height?
22=height
30=slant height
16=base
Please give all answers
what about question 7??
To find the area of the sculpture that is covered in mosaic tile, we first need to find the surface area of each square pyramid and then add them together.
The surface area of a square pyramid can be calculated using the formula:
Surface Area = Base Area + (0.5 * Perimeter of Base * Slant Height)
Let's calculate the surface area of the first square pyramid.
Base Area = side^2 = 22^2 = 484 square inches
To find the slant height, we can use the Pythagorean theorem. The slant height is the hypotenuse of a right triangle formed by the height, half the base length, and the slant height.
Using the Pythagorean theorem:
(0.5 * base length)^2 + height^2 = slant height^2
(0.5 * 22)^2 + 16^2 = slant height^2
(11)^2 + 16^2 = slant height^2
121 + 256 = slant height^2
377 = slant height^2
slant height β β377 β 19.42 inches
Now, we can calculate the surface area of the first square pyramid:
Surface Area = 484 + (0.5 * 4 * 19.42)
Surface Area = 484 + (2 * 19.42)
Surface Area = 484 + 38.84
Surface Area = 522.84 square inches
Now let's calculate the surface area of the second square pyramid.
Base Area = side^2 = 30^2 = 900 square inches
Using the Pythagorean theorem again:
(0.5 * 30)^2 + 16^2 = slant height^2
(15)^2 + 16^2 = slant height^2
225 + 256 = slant height^2
481 = slant height^2
slant height β β481 β 21.93 inches
The surface area of the second square pyramid is:
Surface Area = 900 + (0.5 * 4 * 21.93)
Surface Area = 900 + (2 * 21.93)
Surface Area = 900 + 43.86
Surface Area = 943.86 square inches
Now add the two surface areas together to get the total area covered in mosaic tile:
Total Surface Area = Surface Area of Pyramid 1 + Surface Area of Pyramid 2
Total Surface Area = 522.84 + 943.86
Total Surface Area = 1466.70 square inches
Therefore, the correct answer is not provided in the options listed. The total area covered in mosaic tile is 1466.70 square inches.