Home » Test Prep » ACT Section 2: Math » What is the surface area of the prism?
The area of one square face of a rectangular prism is 121 square units. If the volume of the prism is 968 cubic units, what is the surface area of the prism?
A. 352 square units
B. 512 square units
C. 528 square units
D. 594 square units
E. 1,452 square units
Correct Answer: D
Explanation/Reference:
Explanation:
The area of a square is equal to the length of a side, or edge, of the square times itself. If the area of a square face is 121 square units, then the lengths of two edges of the prism are 11 units. The volume of the prism is 968 cubic units. The volume of prism is equal to lwh, where l is the length of the prism, w is the width of the prism, and h is the height of the prism. The length and width of the prism are both 11 units. The height is equal to: 968 = 11 x 11 x h, 968 = 121 x h, h = 8.
The prism has two square faces and four rectangular faces. The area of one square face is 121 square units. The area of one rectangular face is 8 x 11 = 88 square units. Therefore, the total surface area of the prism is equal to: 2 x 121 + 4 x 88 = 242 + 352 = 594 square units.
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