Question

A right rectangular prism is packed with cubes of side length Fraction 1 over 2 inch. If the prism is packed with 5 cubes along the length, 3 cubes along the width, and 6 cubes along the height, what is the volume of the prism? (1 point)

a. Fraction 3 and 3 over 4 cubic inches
b. 7 cubic inches
c. Fraction 11 and 1 over 4 cubic inches
d. 24 cubic inches

Answer 1

• c. Fraction 11 and 1 over 4 cubic inches

Explanation:

Dimensions of the prism in terms of small cubes:

• 5 cubes = 5*1/2 = 5/2 in
• 3 cubes = 3*1/2 = 3/2 in
• 6 cubes = 6*1/2 = 3 in

Volume

• 5/2*3/2*3 = 45/4 = 11 1/4 in³

Correct option is c.