All six faces of a cuboid are __________ in shape and of ______ area.
A trapezium with 3 equal sides and one side double the equal side can be divided into __________ equilateral triangles of _______ area.
The perimeter of a rectangle becomes __________ times its original perimeter, if its length and breadth are doubled.
If the diagonal d of a quadrilateral is doubled and the heights h1 and h2 falling on d are halved, then the area of quadrilateral is __________.
The surface area of a cylinder which exactly fits in a cube of side b is
__________.
The volume of a cylinder which exactly fits in a cube of side a is
__________.
The curved surface area of a cylinder is reduced by ____________ per cent if the height is half of the original height.
The volume of a cylinder becomes __________ the original volume if its radius becomes half of the original radius.
¼ times
Explanation:
Volume of cylinder = pr2h (when radius is r and height is “h”)
When the radius is halved, then it becomes
V = p (r/2)2h
V = ¼ (pr2h)
If a cube fits exactly in a cylinder with height h, then the volume of the cube is __________ and surface area of the cube is __________.
If the diagonals of a rhombus get doubled, then the area of the rhombus becomes __________ its original area.
4 times
Explanation:
Let p and q be the two diagonals of the rhombus
We know that area of a rhombus = pq/2
If the diagonals are doubled, we will get
A= (4p)(4q)/2
Take 4 outside, we will get
A = 4(pq/2)
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