Question the-le
The length of each edge of a box is inches. Each side of the box is in the shape of a square. The box does not have a lid. What is the exterior surface area, in square inches, of this box without a lid?
The length of each edge of a box is 29 inches. Each side of the box
Hard-difficulty · SAT Math · Area and Volume — Surface area. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
The correct answer is . The exterior surface area of a figure is the sum of the areas of all its faces. It's given that the box does not have a lid and that each side of the box is in the shape of a square. Therefore, the box consists of congruent square faces. It's also given that the length of each edge is inches. Let represent the length of an edge of a square. It follows that the area of a square is equal to . Therefore, the area of each of the square faces is equal to , or , square inches. Since the box consists of congruent square faces, it follows that the sum of the areas of all its faces, or the exterior surface area of this box without a lid, is , or , square inches.
More Area and Volume practice questions
- A right rectangular prism has a height of 9 inches. The length of the
- The volume of right circular cylinder A is 22 cubic centimeters. What is the
- A sphere has a radius of 17 5 feet. What is the volume, in
- A right circular cylinder has a base diameter of 22 centimeters and a height
- A right circular cone has a volume of 71,148 π cubic centimeters and the
- A cube has a surface area of 54 square meters. What is the volume,
- A manufacturing company produces two sizes of cylindrical containers that each have a
- The glass pictured above can hold a maximum volume of 473 cubic centimeters, which
Browse all Additional Topics in Math practice questions or return to the full SAT question bank.
