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Bradley cut a square hole out of a block of wood in wood shop. If the block was cube-shaped with side lengths of 11 inches, and the hole had side lengths of 4 inches, how much wood was left after the hole was cut out?
 


Note: Figure is not drawn to scale.

 A. 

1,155 cubic inches

 B. 

1,267 cubic inches

 C. 

1,243 cubic inches

 D. 

1,331 cubic inches

 Mar 10, 2023
edited by Guest  Mar 10, 2023
 #1
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The volume of the cube-shaped block of wood is given by:

V1 = (side length)^3
V1 = (11 in)^3
V1 = 1331 cubic inches

The volume of the square hole cut out of the block of wood is given by:

V2 = (side length)^2 * depth
V2 = (4 in)^2 * 11 in
V2 = 176 cubic inches

To find the volume of the remaining wood, we can subtract the volume of the hole from the volume of the original block:

V3 = V1 - V2
V3 = 1331 cubic inches - 176 cubic inches


V3 = 1155 cubic inches

Therefore, there are 1155 cubic inches of wood left after the hole is cut out.

 Mar 10, 2023

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