1.) Identify the solid formed by the given net.
a. cylinder
b. triangular prism
c. square pyramid
d. rectangular prism
2.) Name the solid according to its description:
The figure has two bases that are parallel congruent circles.
a. cylinder
b. rectangular prism
c. sphere
d. cone
3.) Find the lateral area of a cone with a radius of 7 ft. and a slant height of 13 ft. us 3.14 for pi and round to the nearest tenth.
a. 439.6 ft²
b. 324.5 ft²
c. 571.5 ft²
4.) find the surface area of a square pyramid with a base length of 24 cm and a height of 16 cm.
a. 1056 cm²
b. 1536 cm²
c. 816 cm²
d. 1344 cm²
use the diagram of the cylinder to answer the question. Use 3.14 for pi and round to the nearest tenth.
(the cylinder radius is 8 in and the height is 8 in)
5.) Find the surface area for the cylinder.
a. 2009.6 in²
b. 401.9 in²
c. 803.8 in²
d. 602.9 in²
#1 no net
#2 clearly not B. How many bases to cones and spheres have?
#3 recall that lateral area = 2πrs
#4 the slant height is 20 (use Pythagorean Theorem)
Thus the area is the square base + 4 triangles of base24 and height20
#5 no diagram, but use 2πr(r+h)
someone answer pls
1.) The given net forms a rectangular prism.
2.) The solid described is a cylinder.
3.) To find the lateral area of a cone, we use the formula: Lateral Area = π × radius × slant height.
Plugging in the values, we get: Lateral Area = 3.14 × 7 ft. × 13 ft. = 284.38 ft²
Rounding to the nearest tenth, the lateral area of the cone is 284.4 ft².
Therefore, the answer is none of the given options.
4.) To find the surface area of a square pyramid, we use the formula: Surface Area = base area + (1/2) × perimeter of base × slant height.
The base area of the square pyramid = (24 cm)² = 576 cm²
The perimeter of the base = 4 × base length = 4 × 24 cm = 96 cm
Plugging in the values, we get: Surface Area = 576 cm² + (1/2) × 96 cm × 16 cm = 576 cm² + 768 cm² = 1344 cm²
Therefore, the surface area of the square pyramid is 1344 cm².
5.) To find the surface area of a cylinder, we use the formula: Surface Area = 2πr² + 2πrh.
Plugging in the values, we get: Surface Area = 2 × 3.14 × (8 in)² + 2 × 3.14 × 8 in × 8 in = 401.92 in² + 402.88 in² = 804.8 in²
Rounding to the nearest tenth, the surface area of the cylinder is 804.8 in².
Therefore, the answer is none of the given options.
1.) To identify the solid formed by a given net, we need to understand the characteristics of each solid and see which one matches the given net. A cylinder has two circular bases that are parallel, a triangular prism has two triangular bases and three rectangular faces, a square pyramid has a square base and four triangular faces, and a rectangular prism has six rectangular faces. By comparing the given net with the characteristics of each solid, we can determine the answer.
2.) According to the description provided, the figure has two bases that are parallel congruent circles. This matches the characteristics of a cylinder, which has two circular bases that are parallel. Therefore, the answer is a. cylinder.
3.) To find the lateral area of a cone, we need to know its radius and slant height. The lateral area of a cone can be calculated using the formula LA = πrℓ, where r is the radius and ℓ is the slant height. By substituting the given values into the formula, we can calculate the lateral area of the cone.
LA = 3.14 * 7 * 13 = 285.62 ft²
Rounding this to the nearest tenth gives us 285.6 ft². So, the answer is not provided in the given options.
4.) To find the surface area of a square pyramid, we need to know its base length and height. The surface area of a square pyramid can be calculated using the formula SA = B + 2sh, where B is the area of the base, s is the slant height of the lateral faces, and h is the height. By substituting the given values into the formula, we can calculate the surface area of the square pyramid.
B = 24 * 24 = 576 cm² (Area of the base)
s = 16 cm (Slant height)
h = 16 cm (Height)
SA = 576 + 2 * 24 * 16 = 1056 cm²
So, the answer is a. 1056 cm².
5.) To find the surface area of a cylinder, we need to know its radius and height. The surface area of a cylinder can be calculated using the formula SA = 2πr² + 2πrh, where r is the radius and h is the height. By substituting the given values into the formula, we can calculate the surface area of the cylinder.
SA = 2 * 3.14 * (8²) + 2 * 3.14 * 8 * 8 = 401.92 in²
Rounding this to the nearest tenth gives us 401.9 in². So, the answer is b. 401.9 in².