which prism has the greatest volume I-Ready
Answers
Step-by-step explanation:
Answer. A cube has the maximum volume amongst rectangular prisms with the same surface area. So, a cube with a surface area of 20 square units has six sides that each have an area of 10/3 square units.
Concept:
Mensuration is the branch of mathematics that studies the measurement of geometric figures and their parameters like length, volume, shape, surface area, lateral surfae area, etc
A polyhedron with two congruent and parallel bases is a rectangular prism. It also goes by the name cuboid. Six faces, each with a rectangle shape and twelve edges, make up a rectangular prism. It is referred to as a prism because of the length of its cross-section.
Volume of cube=a³ where a is the side length
Volume of cuboid=lxbxh
Given:
breadth=2cm
height=4cm
volume=72cm
Find:
The length of the prism
Solution:
breadth=2cm
height=4cm
Length=?
Volume=72cm
As per question,
V=lxbxh
⇒72=lx4x2
⇒l=9cm
Therefore, the length of the prism is 9cm
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