To find the surface area of a rectangular pyramid, we need to find the area of each face and add them together.
The base of the pyramid is a rectangle with length 8 yd and width 4 yd:
Area of the base = length * width = 8 yd * 4 yd = 32 yd^2
There are 4 triangular faces in a rectangular pyramid. Each face has a base equal to the width of the base rectangle and a height equal to the height of the pyramid.
Area of each triangular face = (1/2) * base * height = (1/2) * 4 yd * 2 yd = 4 yd^2
Total surface area = area of base + 4 * area of triangular face
Total surface area = 32 yd^2 + 4 * 4 yd^2 = 32 yd^2 + 16 yd^2 = 48 yd^2
Therefore, the surface area of the rectangular pyramid is 48 yd^2.
Find the surface area of a rectangular pyramid with these measurements: l = 8 yd., w = 4 yd., and h = 2 yd.(1 point)
Responses
55.55 yd.2
55.55 yd. 2
43.31 yd.2
43.31 yd. 2
72.52 yd.2
72.52 yd. 2
66 yd.2
13 answers
just pick the best answer b***
The best answer is:
48 yd.2
48 yd.2
Use the formula for the surface area of a square pyramid to find the surface area if the base edge length is 5 yards and the height is 25 yards. Round to the nearest whole number.(1 point)
Responses
151 square yards
151 square yards
251 square yards
251 square yards
1,298 square yards
1,298 square yards
276 square yards
Responses
151 square yards
151 square yards
251 square yards
251 square yards
1,298 square yards
1,298 square yards
276 square yards
To find the surface area of a square pyramid, we can use the formula:
Surface Area = base area + (1/2) * perimeter * slant height
Given:
Base edge length = 5 yards
Height = 25 yards
First, let's find the base area:
Base area = length * width = 5 yards * 5 yards = 25 square yards
Next, let's find the slant height. In a square pyramid, the slant height can be found using the Pythagorean theorem:
Slant height = sqrt(height^2 + (base edge length / 2)^2) = sqrt(25^2 + (5/2)^2) = sqrt(625 + 6.25) = sqrt(631.25) ≈ 25.15 yards
Now, let's calculate the perimeter:
Perimeter = 4 * base edge length = 4 * 5 yards = 20 yards
Finally, we can calculate the surface area:
Surface Area = base area + (1/2) * perimeter * slant height
Surface Area = 25 square yards + (1/2) * 20 yards * 25.15 yards
Surface Area ≈ 25 square yards + 250.75 square yards
Surface Area ≈ 275.75 square yards
Rounding to the nearest whole number, the surface area is approximately 276 square yards.
Surface Area = base area + (1/2) * perimeter * slant height
Given:
Base edge length = 5 yards
Height = 25 yards
First, let's find the base area:
Base area = length * width = 5 yards * 5 yards = 25 square yards
Next, let's find the slant height. In a square pyramid, the slant height can be found using the Pythagorean theorem:
Slant height = sqrt(height^2 + (base edge length / 2)^2) = sqrt(25^2 + (5/2)^2) = sqrt(625 + 6.25) = sqrt(631.25) ≈ 25.15 yards
Now, let's calculate the perimeter:
Perimeter = 4 * base edge length = 4 * 5 yards = 20 yards
Finally, we can calculate the surface area:
Surface Area = base area + (1/2) * perimeter * slant height
Surface Area = 25 square yards + (1/2) * 20 yards * 25.15 yards
Surface Area ≈ 25 square yards + 250.75 square yards
Surface Area ≈ 275.75 square yards
Rounding to the nearest whole number, the surface area is approximately 276 square yards.
What is the surface area of a square pyramid where the base edge is 8 ft. and the slant height is 16 ft.?(1 point)
Responses
128 ft.2
128 ft. squared
512 ft.2512 ft. squared
320 ft.2
320 ft. squared
256 ft.2
Responses
128 ft.2
128 ft. squared
512 ft.2512 ft. squared
320 ft.2
320 ft. squared
256 ft.2
To find the surface area of a square pyramid, we can use the formula:
Surface Area = base area + (1/2) * perimeter * slant height
Given:
Base edge length = 8 ft
Slant height = 16 ft
First, let's find the base area:
Base area = length * width = 8 ft * 8 ft = 64 ft^2
Next, let's find the perimeter:
Perimeter = 4 * base edge length = 4 * 8 ft = 32 ft
Now, we can calculate the surface area:
Surface Area = base area + (1/2) * perimeter * slant height
Surface Area = 64 ft^2 + (1/2) * 32 ft * 16 ft
Surface Area = 64 ft^2 + 16 ft * 16 ft
Surface Area = 64 ft^2 + 256 ft^2
Surface Area = 320 ft^2
Therefore, the surface area of the square pyramid is 320 ft^2.
Surface Area = base area + (1/2) * perimeter * slant height
Given:
Base edge length = 8 ft
Slant height = 16 ft
First, let's find the base area:
Base area = length * width = 8 ft * 8 ft = 64 ft^2
Next, let's find the perimeter:
Perimeter = 4 * base edge length = 4 * 8 ft = 32 ft
Now, we can calculate the surface area:
Surface Area = base area + (1/2) * perimeter * slant height
Surface Area = 64 ft^2 + (1/2) * 32 ft * 16 ft
Surface Area = 64 ft^2 + 16 ft * 16 ft
Surface Area = 64 ft^2 + 256 ft^2
Surface Area = 320 ft^2
Therefore, the surface area of the square pyramid is 320 ft^2.
A pastry chef is creating a chocolate dessert in the shape of a triangular pyramid. The pyramid has a base of 5 in., the height of the base is 4.3 in., and the slant height is 6 in. Use the correct formula to find the surface area of the chocolate pyramid. (1 point)
Responses
55.75 in.2
55.75 in. squared
58.25 in.2
58.25 in. squared
52.25 in.2
52.25 in. squared
47.25 in.2
Responses
55.75 in.2
55.75 in. squared
58.25 in.2
58.25 in. squared
52.25 in.2
52.25 in. squared
47.25 in.2
To find the surface area of a triangular pyramid, we can use the formula:
Surface Area = (base area) + (1/2) * perimeter * slant height
Given:
Base length = 5 in.
Height of the base = 4.3 in.
Slant height = 6 in.
First, let's find the base area of the triangular pyramid:
Base area = (1/2) * base length * height of the base = (1/2) * 5 in * 4.3 in = 10.75 in^2
Next, let's find the perimeter of the base, which is the sum of all the sides of the triangle.
The base is an equilateral triangle, so each side has a length of 5 in.
Perimeter of the base = 3 * base length = 3 * 5 in = 15 in
Now, we can calculate the surface area:
Surface Area = base area + (1/2) * perimeter * slant height
Surface Area = 10.75 in^2 + (1/2) * 15 in * 6 in
Surface Area = 10.75 in^2 + 7.5 in * 6 in
Surface Area = 10.75 in^2 + 45 in^2
Surface Area = 55.75 in^2
Therefore, the surface area of the chocolate pyramid is 55.75 in^2.
Surface Area = (base area) + (1/2) * perimeter * slant height
Given:
Base length = 5 in.
Height of the base = 4.3 in.
Slant height = 6 in.
First, let's find the base area of the triangular pyramid:
Base area = (1/2) * base length * height of the base = (1/2) * 5 in * 4.3 in = 10.75 in^2
Next, let's find the perimeter of the base, which is the sum of all the sides of the triangle.
The base is an equilateral triangle, so each side has a length of 5 in.
Perimeter of the base = 3 * base length = 3 * 5 in = 15 in
Now, we can calculate the surface area:
Surface Area = base area + (1/2) * perimeter * slant height
Surface Area = 10.75 in^2 + (1/2) * 15 in * 6 in
Surface Area = 10.75 in^2 + 7.5 in * 6 in
Surface Area = 10.75 in^2 + 45 in^2
Surface Area = 55.75 in^2
Therefore, the surface area of the chocolate pyramid is 55.75 in^2.
When creating the formula for surface area of a triangular pyramid (SA=12ab+3(12lb)) , what formula is being used?(1 point)
Responses
area of a square
area of a square
volume
volume
area of a triangle
area of a triangle
perimeter
Responses
area of a square
area of a square
volume
volume
area of a triangle
area of a triangle
perimeter
The formula being used to calculate the surface area of a triangular pyramid is the formula for the area of a triangle.
all where right exept the first wich is 72.52 yd.2
Apologies for the confusion. The correct answer for the surface area of a rectangular pyramid with measurements of l = 8 yd, w = 4 yd, and h = 2 yd is 72.52 yd^2.
1 answer