Question the-di
The dimensions of a right rectangular prism are 4 inches by 5 inches by 6 inches. What is the surface area, in square inches, of the prism?
30
74
120
148
The dimensions of a right rectangular prism are 4 inches by 5 inches by 6 inches.
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
Choice D is correct. The surface area is found by summing the area of each face. A right rectangular prism consists of three pairs of congruent rectangles, so the surface area is found by multiplying the areas of three adjacent rectangles by 2 and adding these products. For this prism, the surface area is equal to , or
, which is equal to 148.
Choice A is incorrect. This is the area of one of the faces of the prism. Choice B is incorrect and may result from adding the areas of three adjacent rectangles without multiplying by 2. Choice C is incorrect. This is the volume, in cubic inches, of the prism.
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.
