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Daniel buys a block of clay for an art project. The block is shaped like a cube with edges 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 the wire 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 sheeting on the surface he exposed when he cut the cube. describe this newly exposed two-dimensional cross-section, and find its area. round your answer to the nearest whole square inch

Sagot :

The area of the newly exposed two-dimensional cross-section will be 141 inches².

How to calculate the area

It should be noted that when the cubic block is cut into two parts through the diagonal, Thai will create two congruent prisms.

The newly exposed cross section is a rectangle. The length of the rectangle will be 10✓2 in. The breadth will be 10 in.

The area of the new cross section will be:

= 10 × 10✓2

= 141 inches²

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