SENSEI AI
About App

The problem presents a net of a cube. We are asked to determine which letter is on the face opposite to the face with the letter T.

Geometry3D GeometryCubeNet of a CubeSpatial Reasoning
2025/4/16

1. Problem Description

The problem presents a net of a cube. We are asked to determine which letter is on the face opposite to the face with the letter T.

2. Solution Steps

We can visualize folding the net into a cube.
- The faces V, W, and X are adjacent to each other in a row.
- The faces S, T, and U are adjacent to each other in a row, below V.
When folding the net:

1. If we fold the net such that the row S, T, U is the base, then the face V becomes the top face.

2. Folding the face V towards the row S, T, U, the letter V will be adjacent to the face T.

3. If we consider face S as the front face, then face T will be the right face, and face U will be the back face.

4. Since face V becomes the top, and there are two other faces remaining, W and X, we need to fold them. When folding the face W and X. The face X will become the left face, and the face W will become the face opposite to the face T.

Therefore, the letter opposite T is W.

3. Final Answer

D) W

Related problems in "Geometry"

Given that $\angle A \cong \angle D$ and $\angle 2 \cong \angle 3$, we want to prove that $\overline...

Geometry ProofTriangle CongruenceAngle CongruenceSide CongruenceCPCTCAAS Theorem
2025/6/14

We are given that $\angle MYT \cong \angle NYT$ and $\angle MTY \cong \angle NTY$. We need to prove ...

CongruenceTrianglesAngle-Side-Angle (ASA)Side-Angle-Side (SAS)CPCTCSupplementary Angles
2025/6/14

The problem describes the transitive property of triangle congruence. Given that triangle $ABC$ is c...

Triangle CongruenceTransitive PropertyGeometric Proof
2025/6/14

The problem states that $ABCD$ is a quadrilateral. We need to prove that the sum of its interior ang...

QuadrilateralAngle SumTriangleProof
2025/6/14

The problem states that $ABCD$ is a quadrilateral. We need to prove that the sum of its interior ang...

QuadrilateralsInterior AnglesGeometric ProofsTriangles
2025/6/14

We are given triangle $PQR$ where side $PQ$ is congruent to side $RQ$, i.e., $PQ = RQ$. We need to p...

Triangle CongruenceIsosceles TriangleProofAngle BisectorSAS CongruenceCPCTC
2025/6/14

We are given that $\angle MYT \cong \angle NYT$ and $\angle MTY \cong \angle NTY$. We want to prove ...

Triangle CongruenceASA PostulateSAS PostulateCPCTCAngle BisectorRight AnglesGeometric Proof
2025/6/14

The problem is to find the equation of the line of intersection between two planes. The equations of...

3D GeometryPlanesLinesIntersectionVectorsCross Product
2025/6/14

The problem asks us to find the equation of the line formed by the intersection of two planes: plane...

3D GeometryPlanesLinesIntersectionVectorsCross ProductParametric Equations
2025/6/14

The problem asks to find the equation of the line formed by the intersection of the plane (a): $x - ...

Plane GeometryLine of IntersectionVectorsCross ProductParametric Equations
2025/6/14