Question 10 of 20. POOS The dimensions of a right rectangular prism are shown below. 1 in. How many cubes with side lengths of inch are needed to fill the prism without gaps or overlaps? 36 cubes 91 cubes 216 cubes 546 cubes

546

Step-by-step explanation:

From the attached picture ;

Volume of a rectangular prism = (width * length * height)

Volume = 2 1/6 * 1 1/6 *1

Volume =. 13/6 * 7/6 * 1

Volume = 91 / 36 in³

Side length, a of cube = 1/6

Volume of cube = a³ = (1/6)^3 = 1/216

(91/36) ÷ 1/216

91/36 * 216/1

91 * 6 = 546

ST/YX

Step-by-step explanation

Δ RST and ΔRYX are similar

RS/RT=RY/RX=ST/YX

Which ratio is also equal to

RT/RX and RS/RYis  ST/YX