Question

if in a rectangular parallelopiped half of the total surface area is equal to the square of the length of the diagonal., show that the rectangular parallelopiped is cube​

Answer 1

Answer:

• A rectangular parallelepiped is a three-dimensional structure whose all the six faces are in a rectangular shape and the length of the parallel edges are equal.
• The volume of the parallelepiped is therefore Volume=∥a×b∥ ∥c∥ |cosϕ|=|(a×b)⋅c|. (Remember the definition of the dot product.) Using the formula for the cross product in component form, we can write the scalar triple product in component form as (a×b)⋅c=|a2a3b2b3|c1−|a1a3b1b3|c2+|a1a2b1b2

Step-by-step explanation:

The parallelepiped with Oh symmetry is known as a cube, which has six congruent square faces. ... Rectangular cuboid: it has six rectangular faces (also called a rectangular parallelepiped, or sometimes simply a cuboid). Right rhombic prism: it has two rhombic faces and four congruent rectangular faces.

The diagonal of a rectangular parallelepiped is a length or a distance between the opposite vertices. You can draw four diagonals in a rectangular parallelepiped.

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Answer 2

Answer:

In a rectangular parallelopiped half of its surface area is equal to the square of its diagonal. Show

that it is a cube.