SOLUTION: Daniel 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

Algebra ->  Volume -> SOLUTION: Daniel 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      Log On


   

Question 1181708: Daniel 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.
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
The newly exposed surface is a rectangle of size 10 in x sqrt%282%29%2A10 in. So the area of the newly exposed surface would be 10%2Asqrt%282%29%2A10+=+sqrt%282%29%2A100+=+1.414%2A100+=+141.4 sq in. Rounding off to the nearest whole square inch, the answer is 141 sq in.