Question a-cube

4.4 Area and Volume - Volume of prisms, cylinders, cones, spheres
0:00

A cube has an edge length of 41 inches. What is the volume, in cubic inches, of the cube?

A.

164

B.

1,681

C.

10,086

D.

68,921

A cube has an edge length of 41 inches. What is the volume, in cubic inches,

Hard-difficulty · SAT Math · Area and Volume — Volume of prisms, cylinders, cones, spheres. 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 volume, V , of a cube can be found using the formula V=s3, where s is the edge length of the cube. It's given that a cube has an edge length of 41 inches. Substituting 41 inches for s in this equation yields V=413 cubic inches, or V = 68,921 cubic inches. Therefore, the volume of the cube is 68,921 cubic inches.

Choice A is incorrect. This is the perimeter, in inches, of the cube.

Choice B is incorrect. This is the area, in square inches, of a face of the cube.

Choice C is incorrect. This is the surface area, in square inches, of the cube.