Sam glued 21 identical cubes together to form the solid shown below. He painted the exposed faces of the solid including the base. Find the total area that Sam painted.

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Step-by-step explanation:

The diagram suggests that the length of a row of five cubes is . Hence, the length of the edge of each cube would be:

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That would correspond to an area of for each face of the cube.

Refer to the diagram attached.

Viewing from the front and from the rear each shows faces of the cubes.

Viewing from the top and from the bottom each shows faces of the cubes.

Viewing from the left and from the right each shows faces of the cubes.

When viewed from the six perspectives, faces of the cubes are visible in total.

For this particular construction, all faces that need to be painted are visible when viewed from exactly one of the six perspectives: front, rear, top, right, left, right. Hence, Sam would need to paint of such squares.

The area that Sam needs to paint would be .

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following