CramX Logo

Q
QuestionMathematics

# Which is the net for this rectangular prism?
12 months agoReport content

Answer

Full Solution Locked

Sign in to view the complete step-by-step solution and unlock all study resources.

Step 1:
: Identify the front, back, top, and bottom faces of the rectangular prism.

In the given images, we can identify the front face as the red square, the back face as the yellow square, the top face as the blue rectangle, and the bottom face as the green rectangle.

Step 2:
: Determine the vectors representing the sides of each face.

The vector representing the front side of the bottom face is $\vec{a}$, and the vector representing the right side of the bottom face is $\vec{f} = 0.02 \vec{i}$ m.
For the front face (red square): For the back face (yellow square): For the top face (blue rectangle): For the bottom face (green rectangle):

Step 3:
: Calculate the net vector for each face.

\vec{S} = \vec{a} + \vec{f} = 0.04 \vec{i} + 0.02 \vec{i}
For the front face: For the back face: For the top face: For the bottom face:

Step 4:
: Calculate the net force vector.

\vec{Net} = 0.06 \vec{i} + 0.06 \vec{j}
The net force vector is the vector sum of the force vectors for each face: Substituting the values from Step 3: Combining like terms:

Final Answer

The net force vector is \boxed{0.06 \vec{i} + 0.06 \vec{j}}.