Surface Area
A cake is created by assembling two layers as shown in the diagram below. The exposed surfaces of the cake require frosting. Assuming the 4 inch by 10 inch base on which the cake sits will not be frosted, what is the area that will require frosting?
not 392 square inches
The area of the circular base of a cylinder is 36π square units. The height of the cylinder is 2 units. What is the lateral area of the cylinder? Express the answer in terms of π.
not 72π square units
A square pyramid has a base with side lengths each measuring 40 inches. The pyramid is 21 inches tall, with a slant height of 29 inches. What is the surface area of the pyramid?
3,920 square inches
For a project, Gabrielle made a model of an Egyptian pyramid. The square base has a side length measuring 10 inches. The pyramid is 12 inches tall. What is the surface area of the model?
360
The circumference of the base of a cone is 24π inches. The slant height of the cone is 20 inches. What is the surface area of the cone? Express the answer in terms of π.
384
The cone below has a radius of 3 inches, a height of 4 inches, and a slant height of 5 inches. What is the approximate lateral area of the cone? Use 3.14 for π and round to the nearest whole number.
47
The triangular bases of a triangular prism have three congruent sides, each measuring 10 centimeters. The height of each of the triangular bases is approximately 8.7 centimeters. The height of the prism is 15 centimeters. What is the approximate surface area of the prism?
537 cm2
The rectangular prism below has a length of 18 inches, a width of 24 inches, and a height of 12 inches. What is the surface area of the prism? 1,440 square i
1,872 square inches
A rectangular prism has dimensions x units, 2x units, and x + 8 units. Which expression represents the surface area of the prism?
10x2 + 48x square units
The square pyramid below has a height of 12 centimeters and a slant height of 20 centimeters. The square base of the pyramid has side lengths of 32 centimeters. What is the lateral area of the pyramid?
1280 cm2
A cube has a lateral area of 676 square feet. What is the side length of the cube?
13
The base of a cylinder has a radius of 9 centimeters. The cylinder is 12 centimeters tall. What is the approximate lateral area of the cylinder? Use 3.14 for π and round to the nearest whole number.
678 cm2
A triangular prism has bases with three congruent sides, each measuring 4 feet. The height of each triangle is approximately 3.5 feet. The distance between the triangular bases is 7 feet. What is the lateral area of the prism?
84 feet
