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daniel wants to keep one chunk of the clay for later use. to keep that chunk from drying out, he wants to place a piece of plastic sheeting on the surface he exposed when he cut through the cube. describe this newly exposed two-dimensional cross section, and find its area. round your answer to the nearest whole square inch. show your work.
daniel wants to keep one chunk of the clay for later use. to keep that chunk from drying out, he wants to place a piece of plastic sheeting on the surface he exposed when he cut through the cube. describe this newly exposed two-dimensional cross section, and find its area. round your answer to the nearest whole square inch. show your work.
If block is shaped like acubewith edge lengths of 10 inches and Daniel decides to cut the block of clay into two pieces, thenareaof this newly exposed two-dimensionalcross sectionis 141 inches².WhenDanielcuts the block of clay into two congruent chunks, he creates a cross section that is a square.Thediagonalof this square is equal to the diagonal of one face of the cube.The diagonal of one face of the cube can be found using thePythagorean theorem;⇒ d = √(a² + b²),Where a and b are thelengthsof two sides of the face.Since the cube has edge lengths of 10 inches,We have,⇒ d = √(10² + 10²) = √200 = 10√2,So, diagonal of square cross section is 10√2 inches.We see that thenewly exposedcross section is a rectangle.So,Lengthof rectangle will be = 10✓2 in, andbreadthwill be = 10 in.The area of new cross section is :⇒ 10 × 10✓2⇒ 141 inches²Therefore, the area of thenewly exposedcross section is 141 inches².Learn more aboutDiagonalherebrainly.com/question/28869921#SPJ4The given question is incomplete, the complete question isDaniel buys a block of clay for an art project. The block is shaped like a cube with edge lengths of 10 inches. Daniel decides to cut the block of clay into two pieces. He places a wire across the diagonal of one face of the cube. Then he pulls straight back to create two congruent chunks of clay.Daniel wants to keep one chunk of the clay for later use. To keep that chunk from drying out, he wants to place a piece of plastic wrap on the surface he exposed when he cut through the cube.Find the area of this newly exposed two-dimensional cross section to the nearest whole square inch....