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What is the ratio for the surface areas of the rectangular prisms shown below given that they are similar and that the ratio of their edge lengths is 31?
For similar geometric figures, the ratio of their surface areas is equal to the square of the ratio of their corresponding edge lengths. Given that the ratio of the edge lengths is 31, the ratio of the surface areas would be (31^2), which equals 961. Therefore, the ratio of the surface areas of the rectangular prisms is 961:1.
Can two non congruent triangles have equal areas?
Yes
What is a regular pyramid?
A regular pyramid is a three-dimensional solid object with only one base (as opposed to prisms, which have two). "Regular" refers to whatever polygon the base is -- it will have sides of equal length and all of its interior angles will be congruent. The other faces of the regular pyramid are triangles of equal sides (congruent), each sharing two sides with the adjacent faces.Pyramids have 1/3 of the volume of a prisms with the same base and height.
If two triangle are congruent will their areas always be equal?
yes they have same area always !
Is 6 and 8 congruent?
No. Congruent means equal. 6 and 8 are not equal.
Do congruent spheres have equal surface areas?
Two spheres that are congruent are the same size and shape. Therefore, they would have the same surface area. So this statement is always true.
Do congruent triangles have equal areas?
yes
Do congruent figures have equal areas?
I believe they do, a congruent figure have to be the same shape and size, so they would have to have equal surfaceareas.
Can two non congruent triangles have equal areas?
Yes
Is the areas of two triangles equal and congruent?
In most cases, no.
What is a regular pyramid?
A regular pyramid is a three-dimensional solid object with only one base (as opposed to prisms, which have two). "Regular" refers to whatever polygon the base is -- it will have sides of equal length and all of its interior angles will be congruent. The other faces of the regular pyramid are triangles of equal sides (congruent), each sharing two sides with the adjacent faces.Pyramids have 1/3 of the volume of a prisms with the same base and height.
If two triangle are congruent will their areas always be equal?
yes they have same area always !
What is true about all prisms?
All prisms contain an equal number of faces,vertices,and edges
Is 6 and 8 congruent?
No. Congruent means equal. 6 and 8 are not equal.
Surface area of a pentagonal prism?
Sum of the surface areas or each of its seven faces. Only the two pentagonal bases should have equal areas; there is no need for any of the other faces to have equal areas.
Do prisms have an equal number of sides?
Yes
What are all the properties of congruent triangles?
-- Each side and each angle of one is equal to the corresponding side or angle of the other one. -- Their heights and areas are equal.
