The volume of a cube is 216 in2. A rectangular prism has a length

Mathematics

1 answer:

erma4kov [3.2K]2 years ago

4 0

Answer:

288 in3

Step-by-step explanation:

Volume of a cube is 216 in3, in cube, l=w=h so its' length, width, and height are equal to 6 in. Its' height is 2 inches longer than its width so it is equal to 8. 6 x 6 x 8 = 288 (in3)

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Now, we find the area of the figure:

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We have 4 vertical rectangles from left to right:

$A_ {1} = 14 * (18-12) = 14 * 6 = 84 \ cm ^ 2\\A_ {2} = (3 + 3 + 3) * 4 = 9 * 4 = 36 \ cm ^ 2\\A_ {3} = (3 + 3) * 4 = 6 * 4 = 24 \ cm ^ 2\\A_ {4} = 3 * 4 = 12 \ cm ^ 2$