SENSEI AI
About App

The problem asks us to identify which 3D solid (a cube, a pyramid, or a rectangular prism) each of the given nets will fold into.

Geometry3D ShapesNetsSolid GeometryCubePyramidRectangular PrismTetrahedron
2025/4/14

1. Problem Description

The problem asks us to identify which 3D solid (a cube, a pyramid, or a rectangular prism) each of the given nets will fold into.

2. Solution Steps

* Net 1: The net consists of a central square and four triangles that meet at a point. When folded, the triangles will form the sides of a pyramid, converging at the apex. The square will be the base. Therefore, this net folds into a pyramid, which corresponds to solid 'b'.
* Net 2: The net consists of six squares arranged in a T-shape. When folded, this net will create a cube. This corresponds to solid 'a'.
* Net 3: The net consists of six rectangles, with the central rectangle having two rectangles attached to the sides and one rectangle attached to the top and bottom. When folded, it forms a rectangular prism. This corresponds to solid 'c'.
* Net 4: The net consists of one triangle and three identical triangles connecting to the side of the central triangle. When folded, this will form a tetrahedron which is a triangular based pyramid. This corresponds to solid 'b'.

3. Final Answer

* Net 1: b
* Net 2: a
* Net 3: c
* Net 4: b

Related problems in "Geometry"

The problem asks to find the volume of water in a rectangular parallelepiped, given its dimensions: ...

VolumeRectangular ParallelepipedUnits ConversionFractions
2025/6/15

We are given three vectors $\vec{OA} = 3\hat{i} - \hat{j}$, $\vec{OB} = \hat{j} + 2\hat{k}$, and $\v...

VectorsScalar Triple ProductParallelepipedVolumeDeterminants
2025/6/15

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