1. Find the surface area of the rectangular prism. 3in, 2in,4in.
A. 60in.
B. 84in.
C. 26in.
D. 52in.
2. A cube has a side length of x feet. Which expression represents the surface are of the cube?
A. 4x square units
B. 24x square units
C. x to the second power square units
D. 6x to the second power square units
3. Find the surface area of the cylinder. Use 3.14 for pi. 2cm, 15cm
A. 100.48 cm
B. 97.43 cm
C. 36.28 cm
D. 33.14 cm
4. The bottom of a shopping bag measures 8 inches by 10 inches. The bag has a height of 12 inches. How much paper is needed to make the bag?
A. 256 in
B. 296 in
C. 512 in
D. 592 in
This is the answers
1. 52 in
2. 6x to the second power
3. 100.48 cm
4. 512 in
so bree is right?
yuhhhh bree is right guys i swear to god bru if u think im lying then dont trust me but i got 4/4 trust me bro on god.
a prism has 3 pairs of rectangular faces, so if its dimensions are x,y,z then its area is 2(xy + xz + yz)
a cube is just a prism, where x,y,z are the same
a cylinder is just like a prism, except round.
Just as a prism's area is its base perimeter times its height, plus the two bases,
a cylinder's area is 2πrh + 2πr^2
Bree is correct I just took the test
1. To find the surface area of a rectangular prism, you need to calculate the area of each of its six faces and then add them up. The formula for finding the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
In this case, the dimensions of the rectangular prism are:
Length (l) = 3 inches
Width (w) = 2 inches
Height (h) = 4 inches
Substituting the values into the formula, we get:
Surface Area = 2(3)(2) + 2(3)(4) + 2(2)(4)
Surface Area = 12 + 24 + 16
Surface Area = 52 square inches
Therefore, the correct answer is:
D. 52 in.
2. To find the surface area of a cube with side length x, we need to calculate the area of each of its six faces and then add them up. Since all faces of a cube are squares, each face has an area of x^2 (x squared).
The formula for finding the surface area of a cube is:
Surface Area = 6 * (x^2)
Therefore, the correct answer is:
D. 6x^2 square units.
3. To find the surface area of a cylinder, you need to calculate the sum of the areas of its two bases and the lateral surface area. The formula for finding the surface area of a cylinder is:
Surface Area = 2(pi)(r^2) + 2(pi)(r)(h)
In this case, the dimensions of the cylinder are:
Radius (r) = 2 cm
Height (h) = 15 cm
Substituting the values into the formula, we get:
Surface Area = 2(3.14)(2^2) + 2(3.14)(2)(15)
Surface Area = 2(3.14)(4) + 2(3.14)(2)(15)
Surface Area = 25.12 + 188.4
Surface Area = 213.52 square cm
Therefore, the correct answer is:
B. 97.43 cm
4. To find the paper needed to make a shopping bag, we need to calculate the surface area of the bag. The surface area of the bag can be calculated by finding the area of the bottom and multiplying it by the height of the bag.
The formula for finding the area of a rectangle is:
Area = length * width
In this case, the dimensions of the bottom of the bag are:
Length = 8 inches
Width = 10 inches
Substituting the values into the formula, we get:
Area = 8 * 10
Area = 80 square inches
The height of the bag is given as 12 inches.
To find the surface area, we multiply the area of the bottom by the height:
Surface Area = 80 * 12
Surface Area = 960 square inches
Therefore, the correct answer is:
C. 512 in.